101101002011200 has 42 divisors (see below), whose sum is σ = 248771653077746. Its totient is φ = 40440400803840.

The previous prime is 101101002011167. The next prime is 101101002011279. The reversal of 101101002011200 is 2110200101101.

It can be written as a sum of positive squares in 3 ways, for example, as 15680079396864 + 85420922614336 = 3959808^2 + 9242344^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 31594061529 + ... + 31594064728.

Almost surely, 2^{101101002011200} is an apocalyptic number.

101101002011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101002011200 is an abundant number, since it is smaller than the sum of its proper divisors (147670651066546).

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

101101002011200 is an equidigital number, since it uses as much as digits as its factorization.

101101002011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63188126279 (or 63188126264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101002011200 its reverse (2110200101101), we get a palindrome (103211202112301).

It can be divided in two parts, 10110100201 and 1200, that added together give a square (10110101401 = 100549²).

The spelling of 101101002011200 in words is "one hundred one trillion, one hundred one billion, two million, eleven thousand, two hundred".