102101212022121 has 12 divisors (see below), whose sum is σ = 158824107590148. Its totient is φ = 62831515090464.

The previous prime is 102101212022113. The next prime is 102101212022141. The reversal of 102101212022121 is 121220212101201.

102101212022121 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 212 + 0 + 221 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51109273355625 + 50991938666496 = 7149075^2 + 7140864^2 .

It is not a de Polignac number, because 102101212022121 - 2³ = 102101212022113 is a prime.

It is a super-2 number, since 2×102101212022121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101212022094 and 102101212022103.

It is not an unprimeable number, because it can be changed into a prime (102101212022101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436329965790 + ... + 436329966023.

It is an arithmetic number, because the mean of its divisors is an integer number (13235342299179).

Almost surely, 2^{102101212022121} is an apocalyptic number.

It is an amenable number.

102101212022121 is a deficient number, since it is larger than the sum of its proper divisors (56722895568027).

102101212022121 is a wasteful number, since it uses less digits than its factorization.

102101212022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872659931832 (or 872659931829 counting only the distinct ones).

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

Adding to 102101212022121 its reverse (121220212101201), we get a palindrome (223321424123322).

The spelling of 102101212022121 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, twenty-two thousand, one hundred twenty-one".