102122202001200 has 60 divisors (see below), whose sum is σ = 327131453747688. Its totient is φ = 27232587200000.

The previous prime is 102122202001129. The next prime is 102122202001201. The reversal of 102122202001200 is 2100202221201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102122202001200.

It is not an unprimeable number, because it can be changed into a prime (102122202001201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42550916301 + ... + 42550918700.

Almost surely, 2^{102122202001200} is an apocalyptic number.

102122202001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122202001200 is an abundant number, since it is smaller than the sum of its proper divisors (225009251746488).

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

102122202001200 is a wasteful number, since it uses less digits than its factorization.

102122202001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85101835022 (or 85101835011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122202001200 its reverse (2100202221201), we get a palindrome (104222404222401).

The spelling of 102122202001200 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, one thousand, two hundred".