102122121201102 has 32 divisors (see below), whose sum is σ = 229184958483360. Its totient is φ = 33703670361600.

The previous prime is 102122121201091. The next prime is 102122121201179. The reversal of 102122121201102 is 201102121221201.

102122121201102 is a `hidden beast` number, since 10 + 212 + 212 + 120 + 110 + 2 = 666.

It is a super-2 number, since 2×102122121201102² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9362125203 + ... + 9362136110.

It is an arithmetic number, because the mean of its divisors is an integer number (7162029952605).

Almost surely, 2^{102122121201102} is an apocalyptic number.

102122121201102 is an abundant number, since it is smaller than the sum of its proper divisors (127062837282258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122121201102 is a wasteful number, since it uses less digits than its factorization.

102122121201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18724261425 (or 18724261419 counting only the distinct ones).

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

Adding to 102122121201102 its reverse (201102121221201), we get a palindrome (303224242422303).

The spelling of 102122121201102 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, one hundred two".