102011101212200 has 24 divisors (see below), whose sum is σ = 237175810318830. Its totient is φ = 40804440484800.

The previous prime is 102011101212169. The next prime is 102011101212217. The reversal of 102011101212200 is 2212101110201.

It can be written as a sum of positive squares in 3 ways, for example, as 74170092186436 + 27841009025764 = 8612206^2 + 5276458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255027752831 + ... + 255027753230.

Almost surely, 2^{102011101212200} is an apocalyptic number.

102011101212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011101212200 is an abundant number, since it is smaller than the sum of its proper divisors (135164709106630).

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

102011101212200 is a wasteful number, since it uses less digits than its factorization.

102011101212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510055506077 (or 510055506068 counting only the distinct ones).

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

Adding to 102011101212200 its reverse (2212101110201), we get a palindrome (104223202322401).

The spelling of 102011101212200 in words is "one hundred two trillion, eleven billion, one hundred one million, two hundred twelve thousand, two hundred".