102121122011202 has 192 divisors, whose sum is σ = 264356744061696. Its totient is φ = 27886462894080.

The previous prime is 102121122011197. The next prime is 102121122011239. The reversal of 102121122011202 is 202110221121201.

102121122011202 is a `hidden beast` number, since 1 + 0 + 21 + 211 + 220 + 11 + 202 = 666.

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 95 ways as a sum of consecutive naturals, for example, 62985618 + ... + 64586610.

It is an arithmetic number, because the mean of its divisors is an integer number (1376858041988).

Almost surely, 2^{102121122011202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121122011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132178372030848).

102121122011202 is an abundant number, since it is smaller than the sum of its proper divisors (162235622050494).

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

102121122011202 is a wasteful number, since it uses less digits than its factorization.

102121122011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601305 (or 1601302 counting only the distinct ones).

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

Adding to 102121122011202 its reverse (202110221121201), we get a palindrome (304231343132403).

The spelling of 102121122011202 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, two hundred two".