102011112120200 has 24 divisors (see below), whose sum is σ = 237175835679930. Its totient is φ = 40804444848000.

The previous prime is 102011112120097. The next prime is 102011112120217. The reversal of 102011112120200 is 2021211110201.

It can be written as a sum of positive squares in 3 ways, for example, as 61690059907204 + 40321052212996 = 7854302^2 + 6349886^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255027780101 + ... + 255027780500.

Almost surely, 2^{102011112120200} is an apocalyptic number.

102011112120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011112120200 is an abundant number, since it is smaller than the sum of its proper divisors (135164723559730).

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

102011112120200 is a wasteful number, since it uses less digits than its factorization.

102011112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510055560617 (or 510055560608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102011112120200 its reverse (2021211110201), we get a palindrome (104032323230401).

It can be divided in two parts, 102011 and 112120200, that added together give a palindrome (112222211).

The spelling of 102011112120200 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred twenty thousand, two hundred".