101002011111200 has 36 divisors (see below), whose sum is σ = 246571159627170. Its totient is φ = 40400804444160.

The previous prime is 101002011111193. The next prime is 101002011111223. The reversal of 101002011111200 is 2111110200101.

It can be written as a sum of positive squares in 3 ways, for example, as 93697985971984 + 7304025139216 = 9679772^2 + 2702596^2 .

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, 63126256145 + ... + 63126257744.

Almost surely, 2^{101002011111200} is an apocalyptic number.

101002011111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002011111200 is an abundant number, since it is smaller than the sum of its proper divisors (145569148515970).

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

101002011111200 is a wasteful number, since it uses less digits than its factorization.

101002011111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126252513909 (or 126252513896 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101002011111200 its reverse (2111110200101), we get a palindrome (103113121311301).

The spelling of 101002011111200 in words is "one hundred one trillion, two billion, eleven million, one hundred eleven thousand, two hundred".