20111200101000 has 160 divisors (see below), whose sum is σ = 70299817525080. Its totient is φ = 5362986672000.

The previous prime is 20111200100951. The next prime is 20111200101071. The reversal of 20111200101000 is 10100211102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9964388716164 + 10146811384836 = 3156642^2 + 3185406^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124062211 + ... + 124224210.

Almost surely, 2^{20111200101000} is an apocalyptic number.

20111200101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111200101000 is an abundant number, since it is smaller than the sum of its proper divisors (50188617424080).

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

20111200101000 is a wasteful number, since it uses less digits than its factorization.

20111200101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248286454 (or 248286431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111200101000 its reverse (10100211102), we get a palindrome (20121300312102).

The spelling of 20111200101000 in words is "twenty trillion, one hundred eleven billion, two hundred million, one hundred one thousand".