20101121100 has 54 divisors (see below), whose sum is σ = 63005850180. Its totient is φ = 5360298720.

The previous prime is 20101121093. The next prime is 20101121143. The reversal of 20101121100 is 112110102.

It is a happy number.

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 17 ways as a sum of consecutive naturals, for example, 11166390 + ... + 11168189.

Almost surely, 2^20101121100 is an apocalyptic number.

20101121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101121100 is an abundant number, since it is smaller than the sum of its proper divisors (42904729080).

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

20101121100 is a wasteful number, since it uses less digits than its factorization.

20101121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22334599 (or 22334589 counting only the distinct ones).

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

Adding to 20101121100 its reverse (112110102), we get a palindrome (20213231202).

It can be divided in two parts, 201011 and 21100, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 20101121100 in words is "twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred".