100101000021 has 32 divisors (see below), whose sum is σ = 152071257600. Its totient is φ = 58027106880.

The previous prime is 100101000011. The next prime is 100101000037. The reversal of 100101000021 is 120000101001.

It is not a de Polignac number, because 100101000021 - 2¹¹ = 100100997973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100999973 and 100101000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622731 + ... + 766808.

It is an arithmetic number, because the mean of its divisors is an integer number (4752226800).

Almost surely, 2^100101000021 is an apocalyptic number.

100101000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101000021 is a deficient number, since it is larger than the sum of its proper divisors (51970257579).

100101000021 is a wasteful number, since it uses less digits than its factorization.

100101000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389649.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100101000021 its reverse (120000101001), we get a palindrome (220101101022).

The spelling of 100101000021 in words is "one hundred billion, one hundred one million, twenty-one", and thus it is an aban number.