101110010100021 has 12 divisors (see below), whose sum is σ = 157282237933548. Its totient is φ = 62221544676864.

The previous prime is 101110010100017. The next prime is 101110010100061. The reversal of 101110010100021 is 120001010011101.

It can be written as a sum of positive squares in 2 ways, for example, as 7468797068100 + 93641213031921 = 2732910^2 + 9676839^2 .

It is not a de Polignac number, because 101110010100021 - 2² = 101110010100017 is a prime.

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 = 101110010099976 and 101110010100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110010100061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432094060140 + ... + 432094060373.

It is an arithmetic number, because the mean of its divisors is an integer number (13106853161129).

Almost surely, 2^{101110010100021} is an apocalyptic number.

It is an amenable number.

101110010100021 is a deficient number, since it is larger than the sum of its proper divisors (56172227833527).

101110010100021 is a wasteful number, since it uses less digits than its factorization.

101110010100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864188120532 (or 864188120529 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101110010100021 its reverse (120001010011101), we get a palindrome (221111020111122).

The spelling of 101110010100021 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred thousand, twenty-one".