102011111122200 has 192 divisors, whose sum is σ = 365471590464000. Its totient is φ = 23054838512640.

The previous prime is 102011111122183. The next prime is 102011111122201. The reversal of 102011111122200 is 2221111110201.

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 102011111122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011111122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136077660 + ... + 136825259.

It is an arithmetic number, because the mean of its divisors is an integer number (1903497867000).

Almost surely, 2^{102011111122200} is an apocalyptic number.

102011111122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011111122200 is an abundant number, since it is smaller than the sum of its proper divisors (263460479341800).

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

102011111122200 is a wasteful number, since it uses less digits than its factorization.

102011111122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272903034 (or 272903025 counting only the distinct ones).

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

Adding to 102011111122200 its reverse (2221111110201), we get a palindrome (104232222232401).

The spelling of 102011111122200 in words is "one hundred two trillion, eleven billion, one hundred eleven million, one hundred twenty-two thousand, two hundred".