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101021010020 = 225710125727799
BaseRepresentation
bin101111000010101010…
…0100100100001100100
3100122202022212000200122
41132011110210201210
53123342334310040
6114224114501112
710204252263050
oct1360524444144
9318668760618
10101021010020
113992a7aa037
12176b3894798
1396ac1c4998
144c648bac60
152963bbb1b5
hex1785524864

101021010020 has 96 divisors (see below), whose sum is σ = 245812492800. Its totient is φ = 34158182400.

The previous prime is 101021010019. The next prime is 101021010037. The reversal of 101021010020 is 20010120101.

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, 3620081 + ... + 3647879.

It is an arithmetic number, because the mean of its divisors is an integer number (2560546800).

Almost surely, 2101021010020 is an apocalyptic number.

101021010020 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 101021010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122906246400).

101021010020 is an abundant number, since it is smaller than the sum of its proper divisors (144791482780).

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

101021010020 is a wasteful number, since it uses less digits than its factorization.

101021010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28173 (or 28171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101021010020 its reverse (20010120101), we get a palindrome (121031130121).

The spelling of 101021010020 in words is "one hundred one billion, twenty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 257 404 505 514 707 1010 1028 1285 1414 1799 2020 2570 2828 3535 3598 5140 7070 7196 8995 14140 17990 25957 27799 35980 51914 55598 103828 111196 129785 138995 181699 194593 259570 277990 363398 389186 519140 555980 726796 778372 908495 972965 1816990 1945930 2807699 3633980 3891860 5615398 7144343 11230796 14038495 14288686 19653893 28076990 28577372 35721715 39307786 50010401 56153980 71443430 78615572 98269465 100020802 142886860 196538930 200041604 250052005 393077860 500104010 721578643 1000208020 1443157286 2886314572 3607893215 5051050501 7215786430 10102101002 14431572860 20204202004 25255252505 50510505010 101021010020