102122120001200 has 120 divisors (see below), whose sum is σ = 266122221514800. Its totient is φ = 37435357946880.

The previous prime is 102122120001137. The next prime is 102122120001257. The reversal of 102122120001200 is 2100021221201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69920615 + ... + 71366214.

It is an arithmetic number, because the mean of its divisors is an integer number (2217685179290).

Almost surely, 2^{102122120001200} is an apocalyptic number.

102122120001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122120001200 is an abundant number, since it is smaller than the sum of its proper divisors (164000101513600).

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

102122120001200 is a wasteful number, since it uses less digits than its factorization.

102122120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141286999 (or 141286988 counting only the distinct ones).

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

Adding to 102122120001200 its reverse (2100021221201), we get a palindrome (104222141222401).

The spelling of 102122120001200 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, one thousand, two hundred".