102201210111120 has 160 divisors (see below), whose sum is σ = 334272470906880. Its totient is φ = 25759347125760.

The previous prime is 102201210111109. The next prime is 102201210111137. The reversal of 102201210111120 is 21111012102201.

It is a happy number.

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 102201210111120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24035274 + ... + 27965993.

It is an arithmetic number, because the mean of its divisors is an integer number (2089202943168).

Almost surely, 2^{102201210111120} is an apocalyptic number.

102201210111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201210111120 is an abundant number, since it is smaller than the sum of its proper divisors (232071260795760).

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

102201210111120 is a wasteful number, since it uses less digits than its factorization.

102201210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52001733 (or 52001727 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102201210111120 its reverse (21111012102201), we get a palindrome (123312222213321).

The spelling of 102201210111120 in words is "one hundred two trillion, two hundred one billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".