102100220201021 has 16 divisors (see below), whose sum is σ = 116746478851200. Its totient is φ = 87469095188160.

The previous prime is 102100220200987. The next prime is 102100220201033. The reversal of 102100220201021 is 120102022001201.

It is not a de Polignac number, because 102100220201021 - 2⁴² = 97702173689917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100220200987 and 102100220201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100220201051) 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, 235304750 + ... + 235738256.

It is an arithmetic number, because the mean of its divisors is an integer number (7296654928200).

Almost surely, 2^{102100220201021} is an apocalyptic number.

It is an amenable number.

102100220201021 is a deficient number, since it is larger than the sum of its proper divisors (14646258650179).

102100220201021 is a wasteful number, since it uses less digits than its factorization.

102100220201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450884.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100220201021 its reverse (120102022001201), we get a palindrome (222202242202222).

The spelling of 102100220201021 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, two hundred one thousand, twenty-one".