101002110000021 has 6 divisors (see below), whose sum is σ = 145891936666710. Its totient is φ = 67334740000008.

The previous prime is 101002110000017. The next prime is 101002110000101. The reversal of 101002110000021 is 120000011200101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56874388163121 + 44127721836900 = 7541511^2 + 6642870^2 .

It is not a de Polignac number, because 101002110000021 - 2² = 101002110000017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222456666669 = 101002110000021 / (1 + 0 + 1 + 0 + 0 + 2 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101002109999958 and 101002110000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002110000521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611228333326 + ... + 5611228333343.

It is an arithmetic number, because the mean of its divisors is an integer number (24315322777785).

Almost surely, 2^{101002110000021} is an apocalyptic number.

It is an amenable number.

101002110000021 is a deficient number, since it is larger than the sum of its proper divisors (44889826666689).

101002110000021 is a wasteful number, since it uses less digits than its factorization.

101002110000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222456666675 (or 11222456666672 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002110000021 its reverse (120000011200101), we get a palindrome (221002121200122).

The spelling of 101002110000021 in words is "one hundred one trillion, two billion, one hundred ten million, twenty-one", and thus it is an aban number.