102201102011021 has 16 divisors (see below), whose sum is σ = 113627651074560. Its totient is φ = 91284605674560.

The previous prime is 102201102010963. The next prime is 102201102011053. The reversal of 102201102011021 is 120110201102201.

It is a cyclic number.

It is not a de Polignac number, because 102201102011021 - 2²² = 102201097816717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201102010987 and 102201102011005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201102011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13041155 + ... + 19351328.

It is an arithmetic number, because the mean of its divisors is an integer number (7101728192160).

Almost surely, 2^{102201102011021} is an apocalyptic number.

It is an amenable number.

102201102011021 is a deficient number, since it is larger than the sum of its proper divisors (11426549063539).

102201102011021 is a wasteful number, since it uses less digits than its factorization.

102201102011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32400356.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201102011021 its reverse (120110201102201), we get a palindrome (222311303113222).

The spelling of 102201102011021 in words is "one hundred two trillion, two hundred one billion, one hundred two million, eleven thousand, twenty-one".