101011200112021 has 16 divisors (see below), whose sum is σ = 104522375084400. Its totient is φ = 97501897292800.

The previous prime is 101011200112013. The next prime is 101011200112061. The reversal of 101011200112021 is 120211002110101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13661820516100 + 87349379595921 = 3696190^2 + 9346089^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011200112021 - 2³ = 101011200112013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011200111992 and 101011200112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011200112061) 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, 2423414301 + ... + 2423455981.

It is an arithmetic number, because the mean of its divisors is an integer number (6532648442775).

Almost surely, 2^{101011200112021} is an apocalyptic number.

It is an amenable number.

101011200112021 is a deficient number, since it is larger than the sum of its proper divisors (3511174972379).

101011200112021 is a wasteful number, since it uses less digits than its factorization.

101011200112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62120.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011200112021 its reverse (120211002110101), we get a palindrome (221222202222122).

The spelling of 101011200112021 in words is "one hundred one trillion, eleven billion, two hundred million, one hundred twelve thousand, twenty-one".