102101202122121 has 32 divisors (see below), whose sum is σ = 152271818000640. Its totient is φ = 67612671648000.

The previous prime is 102101202122089. The next prime is 102101202122167. The reversal of 102101202122121 is 121221202101201.

102101202122121 is a `hidden beast` number, since 1 + 0 + 210 + 120 + 212 + 2 + 121 = 666.

It is not a de Polignac number, because 102101202122121 - 2⁵ = 102101202122089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101202122094 and 102101202122103.

It is not an unprimeable number, because it can be changed into a prime (102101202122191) 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 31 ways as a sum of consecutive naturals, for example, 68658961 + ... + 70130273.

It is an arithmetic number, because the mean of its divisors is an integer number (4758494312520).

Almost surely, 2^{102101202122121} is an apocalyptic number.

It is an amenable number.

102101202122121 is a deficient number, since it is larger than the sum of its proper divisors (50170615878519).

102101202122121 is a wasteful number, since it uses less digits than its factorization.

102101202122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488494 (or 1488488 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102101202122121 its reverse (121221202101201), we get a palindrome (223322404223322).

The spelling of 102101202122121 in words is "one hundred two trillion, one hundred one billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-one".