102121022122002 has 96 divisors (see below), whose sum is σ = 244109427163056. Its totient is φ = 30653547724800.

The previous prime is 102121022121949. The next prime is 102121022122027. The reversal of 102121022122002 is 200221220121201.

It is a happy number.

102121022122002 is a `hidden beast` number, since 1 + 0 + 212 + 10 + 221 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73770921 + 102120948351081 = 8589^2 + 10105491^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156834418 + ... + 157484210.

Almost surely, 2^{102121022122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121022122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122054713581528).

102121022122002 is an abundant number, since it is smaller than the sum of its proper divisors (141988405041054).

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

102121022122002 is a wasteful number, since it uses less digits than its factorization.

102121022122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666236 (or 666233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102121022122002 its reverse (200221220121201), we get a palindrome (302342242243203).

The spelling of 102121022122002 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, two".