2101021112100 has 144 divisors (see below), whose sum is σ = 6165941354496. Its totient is φ = 552311760000.

The previous prime is 2101021112093. The next prime is 2101021112107. The reversal of 2101021112100 is 12111201012.

It is an interprime number because it is at equal distance from previous prime (2101021112093) and next prime (2101021112107).

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

It is not an unprimeable number, because it can be changed into a prime (2101021112107) 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, 5757277 + ... + 6111323.

It is an arithmetic number, because the mean of its divisors is an integer number (42819037184).

Almost surely, 2^{2101021112100} is an apocalyptic number.

2101021112100 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 2101021112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082970677248).

2101021112100 is an abundant number, since it is smaller than the sum of its proper divisors (4064920242396).

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

2101021112100 is a wasteful number, since it uses less digits than its factorization.

2101021112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354346 (or 354339 counting only the distinct ones).

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

Adding to 2101021112100 its reverse (12111201012), we get a palindrome (2113132313112).

The spelling of 2101021112100 in words is "two trillion, one hundred one billion, twenty-one million, one hundred twelve thousand, one hundred".