101101011021200 has 60 divisors (see below), whose sum is σ = 242897498174148. Its totient is φ = 40440018278400.

The previous prime is 101101011021193. The next prime is 101101011021271. The reversal of 101101011021200 is 2120110101101.

It can be written as a sum of positive squares in 6 ways, for example, as 16617265239184 + 84483745782016 = 4076428^2 + 9191504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42736604 + ... + 45040196.

Almost surely, 2^{101101011021200} is an apocalyptic number.

101101011021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101011021200 is an abundant number, since it is smaller than the sum of its proper divisors (141796487152948).

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

101101011021200 is a wasteful number, since it uses less digits than its factorization.

101101011021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413332 (or 2413321 counting only the distinct ones).

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

Adding to 101101011021200 its reverse (2120110101101), we get a palindrome (103221121122301).

The spelling of 101101011021200 in words is "one hundred one trillion, one hundred one billion, eleven million, twenty-one thousand, two hundred".