10111021101100 has 36 divisors (see below), whose sum is σ = 21945664880608. Its totient is φ = 4043533032000.

The previous prime is 10111021101043. The next prime is 10111021101157. The reversal of 10111021101100 is 110112011101.

It is an interprime number because it is at equal distance from previous prime (10111021101043) and next prime (10111021101157).

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 11 ways as a sum of consecutive naturals, for example, 10478196 + ... + 11402395.

Almost surely, 2^{10111021101100} is an apocalyptic number.

10111021101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111021101100 is an abundant number, since it is smaller than the sum of its proper divisors (11834643779508).

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

10111021101100 is a wasteful number, since it uses less digits than its factorization.

10111021101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21885226 (or 21885219 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111021101100 its reverse (110112011101), we get a palindrome (10221133112201).

The spelling of 10111021101100 in words is "ten trillion, one hundred eleven billion, twenty-one million, one hundred one thousand, one hundred".