20101011121100 has 144 divisors (see below), whose sum is σ = 53694324884928. Its totient is φ = 6360552898560.

The previous prime is 20101011121063. The next prime is 20101011121129. The reversal of 20101011121100 is 112111010102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53986772 + ... + 54357828.

Almost surely, 2^{20101011121100} is an apocalyptic number.

20101011121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101011121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26847162442464).

20101011121100 is an abundant number, since it is smaller than the sum of its proper divisors (33593313763828).

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

20101011121100 is a wasteful number, since it uses less digits than its factorization.

20101011121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377044 (or 377037 counting only the distinct ones).

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

Adding to 20101011121100 its reverse (112111010102), we get a palindrome (20213122131202).

The spelling of 20101011121100 in words is "twenty trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, one hundred".