102122121002200 has 192 divisors, whose sum is σ = 270767607264000. Its totient is φ = 35508162378240.

The previous prime is 102122121002147. The next prime is 102122121002221. The reversal of 102122121002200 is 2200121221201.

It is a happy number.

It is a congruent number.

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, 2060431 + ... + 14439169.

It is an arithmetic number, because the mean of its divisors is an integer number (1410247954500).

Almost surely, 2^{102122121002200} is an apocalyptic number.

102122121002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122121002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135383803632000).

102122121002200 is an abundant number, since it is smaller than the sum of its proper divisors (168645486261800).

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

102122121002200 is a wasteful number, since it uses less digits than its factorization.

102122121002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378954 (or 12378945 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122121002200 its reverse (2200121221201), we get a palindrome (104322242223401).

The spelling of 102122121002200 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand, two hundred".