102001210222021 has 16 divisors (see below), whose sum is σ = 111866126276160. Its totient is φ = 92235718737280.

The previous prime is 102001210222001. The next prime is 102001210222049. The reversal of 102001210222021 is 120222012100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102001210222021 - 2²³ = 102001201833413 is a prime.

It is a super-2 number, since 2×102001210222021² (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 = 102001210221986 and 102001210222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001210222001) 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, 15879526 + ... + 21357943.

It is an arithmetic number, because the mean of its divisors is an integer number (6991632892260).

Almost surely, 2^{102001210222021} is an apocalyptic number.

102001210222021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102001210222021 is a deficient number, since it is larger than the sum of its proper divisors (9864916054139).

102001210222021 is a wasteful number, since it uses less digits than its factorization.

102001210222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37238804.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102001210222021 its reverse (120222012100201), we get a palindrome (222223222322222).

The spelling of 102001210222021 in words is "one hundred two trillion, one billion, two hundred ten million, two hundred twenty-two thousand, twenty-one".