101032112211021 has 12 divisors (see below), whose sum is σ = 145957025445660. Its totient is φ = 67344701973120.

The previous prime is 101032112211013. The next prime is 101032112211071. The reversal of 101032112211021 is 120112211230101.

It is a happy number.

101032112211021 is a `hidden beast` number, since 10 + 10 + 321 + 1 + 221 + 102 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49572005666121 + 51460106544900 = 7040739^2 + 7173570^2 .

It is not a de Polignac number, because 101032112211021 - 2³ = 101032112211013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101032112210985 and 101032112211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032112211071) 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, 836561340 + ... + 836682101.

It is an arithmetic number, because the mean of its divisors is an integer number (12163085453805).

Almost surely, 2^{101032112211021} is an apocalyptic number.

It is an amenable number.

101032112211021 is a deficient number, since it is larger than the sum of its proper divisors (44924913234639).

101032112211021 is a wasteful number, since it uses less digits than its factorization.

101032112211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673250156 (or 1673250153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101032112211021 its reverse (120112211230101), we get a palindrome (221144323441122).

The spelling of 101032112211021 in words is "one hundred one trillion, thirty-two billion, one hundred twelve million, two hundred eleven thousand, twenty-one".