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102101212033020 = 223254167523394819
BaseRepresentation
bin10111001101110001001010…
…011110010110111111111100
3111101111210002000110101020100
4113031301022132112333330
5101340311240240024040
61001052352124521100
730335366133551634
oct2715611236267774
9441453060411210
10102101212033020
112a594976468442
12b54ba953b0190
1344c8145335245
141b2da216a56c4
15bc0d480ecb30
hex5cdc4a796ffc

102101212033020 has 288 divisors, whose sum is σ = 322612564135680. Its totient is φ = 26116357893120.

The previous prime is 102101212032877. The next prime is 102101212033039. The reversal of 102101212033020 is 20330212101201.

102101212033020 is a `hidden beast` number, since 1 + 0 + 2 + 101 + 212 + 0 + 330 + 20 = 666.

It is a super-2 number, since 2×1021012120330202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102101212032984 and 102101212033002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258405171 + ... + 258799989.

It is an arithmetic number, because the mean of its divisors is an integer number (1120182514360).

Almost surely, 2102101212033020 is an apocalyptic number.

102101212033020 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 102101212033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161306282067840).

102101212033020 is an abundant number, since it is smaller than the sum of its proper divisors (220511352102660).

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

102101212033020 is a wasteful number, since it uses less digits than its factorization.

102101212033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395465 (or 395460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102101212033020 its reverse (20330212101201), we get a palindrome (122431424134221).

The spelling of 102101212033020 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, thirty-three thousand, twenty".