101202311101021 has 16 divisors (see below), whose sum is σ = 109490863088880. Its totient is φ = 92985988423680.

The previous prime is 101202311100971. The next prime is 101202311101043. The reversal of 101202311101021 is 120101113202101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3563920987225 + 97638390113796 = 1887835^2 + 9881214^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202311101021 - 2⁹ = 101202311100509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101202311100986 and 101202311101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202311101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717745 + ... + 14704633.

It is an arithmetic number, because the mean of its divisors is an integer number (6843178943055).

Almost surely, 2^{101202311101021} is an apocalyptic number.

It is an amenable number.

101202311101021 is a deficient number, since it is larger than the sum of its proper divisors (8288551987859).

101202311101021 is a wasteful number, since it uses less digits than its factorization.

101202311101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990176.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101202311101021 its reverse (120101113202101), we get a palindrome (221303424303122).

The spelling of 101202311101021 in words is "one hundred one trillion, two hundred two billion, three hundred eleven million, one hundred one thousand, twenty-one".