100102000110021 has 72 divisors (see below), whose sum is σ = 186032546287224. Its totient is φ = 51373999353600.

The previous prime is 100102000110017. The next prime is 100102000110043. The reversal of 100102000110021 is 120011000201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 922032050625 + 99179968059396 = 960225^2 + 9958914^2 .

It is not a de Polignac number, because 100102000110021 - 2² = 100102000110017 is a prime.

It is a super-2 number, since 2×100102000110021² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102000109985 and 100102000110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000110421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235742830 + ... + 236167071.

Almost surely, 2^{100102000110021} is an apocalyptic number.

It is an amenable number.

100102000110021 is a deficient number, since it is larger than the sum of its proper divisors (85930546177203).

100102000110021 is a wasteful number, since it uses less digits than its factorization.

100102000110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471909971 (or 471909961 counting only the distinct ones).

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

Adding to 100102000110021 its reverse (120011000201001), we get a palindrome (220113000311022).

The spelling of 100102000110021 in words is "one hundred trillion, one hundred two billion, one hundred ten thousand, twenty-one".