102201000210021 has 16 divisors (see below), whose sum is σ = 136289249285888. Its totient is φ = 68123376216000.

The previous prime is 102201000210017. The next prime is 102201000210103. The reversal of 102201000210021 is 120012000102201.

It is not a de Polignac number, because 102201000210021 - 2² = 102201000210017 is a prime.

It is a super-2 number, since 2×102201000210021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201000209979 and 102201000210006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201000210721) 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, 1138088895 + ... + 1138178691.

It is an arithmetic number, because the mean of its divisors is an integer number (8518078080368).

Almost surely, 2^{102201000210021} is an apocalyptic number.

It is an amenable number.

102201000210021 is a deficient number, since it is larger than the sum of its proper divisors (34088249075867).

102201000210021 is an equidigital number, since it uses as much as digits as its factorization.

102201000210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144732.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201000210021 its reverse (120012000102201), we get a palindrome (222213000312222).

The spelling of 102201000210021 in words is "one hundred two trillion, two hundred one billion, two hundred ten thousand, twenty-one".