2101012211100 has 144 divisors (see below), whose sum is σ = 6697218600576. Its totient is φ = 504293280000.

The previous prime is 2101012211059. The next prime is 2101012211107. The reversal of 2101012211100 is 11122101012.

It is a super-2 number, since 2×2101012211100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101012211107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2818534 + ... + 3485133.

It is an arithmetic number, because the mean of its divisors is an integer number (46508462504).

Almost surely, 2^{2101012211100} is an apocalyptic number.

2101012211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101012211100 is an abundant number, since it is smaller than the sum of its proper divisors (4596206389476).

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

2101012211100 is a wasteful number, since it uses less digits than its factorization.

2101012211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303796 (or 6303789 counting only the distinct ones).

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

Adding to 2101012211100 its reverse (11122101012), we get a palindrome (2112134312112).

The spelling of 2101012211100 in words is "two trillion, one hundred one billion, twelve million, two hundred eleven thousand, one hundred".