2101122101100 has 144 divisors (see below), whose sum is σ = 6696293909760. Its totient is φ = 504417580800.

The previous prime is 2101122101009. The next prime is 2101122101153. The reversal of 2101122101100 is 11012211012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2750895 + ... + 3430694.

It is an arithmetic number, because the mean of its divisors is an integer number (46502041040).

Almost surely, 2^{2101122101100} is an apocalyptic number.

2101122101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101122101100 is an abundant number, since it is smaller than the sum of its proper divisors (4595171808660).

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

2101122101100 is a wasteful number, since it uses less digits than its factorization.

2101122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181720 (or 6181713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101122101100 its reverse (11012211012), we get a palindrome (2112134312112).

The spelling of 2101122101100 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred".