102122122300 has 36 divisors (see below), whose sum is σ = 241750917576. Its totient is φ = 37135316800.

The previous prime is 102122122261. The next prime is 102122122301. The reversal of 102122122300 is 3221221201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46418047 + ... + 46420246.

It is an arithmetic number, because the mean of its divisors is an integer number (6715303266).

Almost surely, 2^102122122300 is an apocalyptic number.

102122122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122300 is an abundant number, since it is smaller than the sum of its proper divisors (139628795276).

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

102122122300 is a wasteful number, since it uses less digits than its factorization.

102122122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92838318 (or 92838311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102122122300 its reverse (3221221201), we get a palindrome (105343343501).

It can be divided in two parts, 102122 and 122300, that added together give a palindrome (224422).

The spelling of 102122122300 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred".