20101101100 has 36 divisors (see below), whose sum is σ = 44233762608. Its totient is φ = 7927192000.

The previous prime is 20101101071. The next prime is 20101101101. The reversal of 20101101100 is 110110102.

It is not an unprimeable number, because it can be changed into a prime (20101101101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408471 + ... + 1422670.

It is an arithmetic number, because the mean of its divisors is an integer number (1228715628).

Almost surely, 2^20101101100 is an apocalyptic number.

20101101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101101100 is an abundant number, since it is smaller than the sum of its proper divisors (24132661508).

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

20101101100 is a wasteful number, since it uses less digits than its factorization.

20101101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831226 (or 2831219 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20101101100 its reverse (110110102), we get a palindrome (20211211202).

The spelling of 20101101100 in words is "twenty billion, one hundred one million, one hundred one thousand, one hundred".