101210011010021 has 16 divisors (see below), whose sum is σ = 108925780915440. Its totient is φ = 93690202106880.

The previous prime is 101210011009979. The next prime is 101210011010027. The reversal of 101210011010021 is 120010110012101.

It can be written as a sum of positive squares in 8 ways, for example, as 12123105330625 + 89086905679396 = 3481825^2 + 9438586^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210011010021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101210011009984 and 101210011010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210011010027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18333635 + ... + 23206511.

It is an arithmetic number, because the mean of its divisors is an integer number (6807861307215).

Almost surely, 2^{101210011010021} is an apocalyptic number.

It is an amenable number.

101210011010021 is a deficient number, since it is larger than the sum of its proper divisors (7715769905419).

101210011010021 is a wasteful number, since it uses less digits than its factorization.

101210011010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892984.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101210011010021 its reverse (120010110012101), we get a palindrome (221220121022122).

The spelling of 101210011010021 in words is "one hundred one trillion, two hundred ten billion, eleven million, ten thousand, twenty-one".