102122121200 has 120 divisors (see below), whose sum is σ = 283397285520. Its totient is φ = 34950860800.

The previous prime is 102122121169. The next prime is 102122121209. The reversal of 102122121200 is 2121221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122121209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607835 + ... + 757434.

It is an arithmetic number, because the mean of its divisors is an integer number (2361644046).

Almost surely, 2^102122121200 is an apocalyptic number.

102122121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122121200 is an abundant number, since it is smaller than the sum of its proper divisors (181275164320).

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

102122121200 is a wasteful number, since it uses less digits than its factorization.

102122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365315 (or 1365304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122121200 its reverse (2121221201), we get a palindrome (104243342401).

It can be divided in two parts, 102122 and 121200, that added together give a palindrome (223322).

The spelling of 102122121200 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".