102010022001200 has 120 divisors (see below), whose sum is σ = 247570614466560. Its totient is φ = 40389804806400.

The previous prime is 102010022001187. The next prime is 102010022001271. The reversal of 102010022001200 is 2100220010201.

It is a happy number.

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, 51718721 + ... + 53654879.

It is an arithmetic number, because the mean of its divisors is an integer number (2063088453888).

Almost surely, 2^{102010022001200} is an apocalyptic number.

102010022001200 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 102010022001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123785307233280).

102010022001200 is an abundant number, since it is smaller than the sum of its proper divisors (145560592465360).

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

102010022001200 is a wasteful number, since it uses less digits than its factorization.

102010022001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937515 (or 1937504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102010022001200 its reverse (2100220010201), we get a palindrome (104110242011401).

The spelling of 102010022001200 in words is "one hundred two trillion, ten billion, twenty-two million, one thousand, two hundred".