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102201011012020 = 22519675525972643
BaseRepresentation
bin10111001111001110000110…
…111101010000000110110100
3111101212022200011211210111211
4113033032012331100012310
5101343430132304341040
61001210255111211204
730345531220101244
oct2717160675200664
9441768604753454
10102201011012020
112a623229383488
12b5672a7976b04
13450468b2c0a3b
141b347abb59b24
15bc373987a8ea
hex5cf386f501b4

102201011012020 has 96 divisors (see below), whose sum is σ = 229297240972800. Its totient is φ = 38149546748544.

The previous prime is 102201011011969. The next prime is 102201011012033. The reversal of 102201011012020 is 20210110102201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406857819 + ... + 1406930461.

It is an arithmetic number, because the mean of its divisors is an integer number (2388512926800).

Almost surely, 2102201011012020 is an apocalyptic number.

102201011012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201011012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114648620486400).

102201011012020 is an abundant number, since it is smaller than the sum of its proper divisors (127096229960780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201011012020 is a wasteful number, since it uses less digits than its factorization.

102201011012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127997 (or 127995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201011012020 its reverse (20210110102201), we get a palindrome (122411121114221).

The spelling of 102201011012020 in words is "one hundred two trillion, two hundred one billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 12730 25460 55259 72643 110518 145286 221036 276295 290572 363215 552590 726430 1049921 1105180 1380217 1452860 2099842 2760434 3702353 4199684 4867081 5249605 5520868 6901085 7404706 9734162 10499210 13802170 14809412 18511765 19468324 20998420 24335405 27604340 37023530 48670810 70344707 74047060 92474539 97341620 140689414 184949078 281378828 351723535 369898156 462372695 703447070 924745390 1406894140 1849490780 4014179537 8028359074 16056718148 20070897685 40141795370 76269411203 80283590740 152538822406 268950028979 305077644812 381347056015 537900057958 762694112030 1075800115916 1344750144895 1525388224060 2689500289790 5110050550601 5379000579580 10220101101202 20440202202404 25550252753005 51100505506010 102201011012020