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10021000100 = 2252100210001
BaseRepresentation
bin10010101010100110…
…00101001110100100
3221212101021112211212
421111103011032210
5131010334000400
64334212450552
7503221044506
oct112523051644
927771245755
1010021000100
114282658771
121b38019a58
13c39160b77
146b0c6bd76
153d9b5a335
hex2554c53a4

10021000100 has 18 divisors (see below), whose sum is σ = 21745570434. Its totient is φ = 4008400000.

The previous prime is 10021000091. The next prime is 10021000127. The reversal of 10021000100 is 100012001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1419179584 + 8601820516 = 37672^2 + 92746^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50104901 + ... + 50105100.

Almost surely, 210021000100 is an apocalyptic number.

10021000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021000100 is an abundant number, since it is smaller than the sum of its proper divisors (11724570334).

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

10021000100 is a wasteful number, since it uses less digits than its factorization.

10021000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100210015 (or 100210008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10021000100 its reverse (100012001), we get a palindrome (10121012101).

The spelling of 10021000100 in words is "ten billion, twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 100210001 200420002 400840004 501050005 1002100010 2004200020 2505250025 5010500050 10021000100