2102120212101 has 128 divisors (see below), whose sum is σ = 3530096640000. Its totient is φ = 1083281713920.

The previous prime is 2102120212033. The next prime is 2102120212109. The reversal of 2102120212101 is 1012120212012.

It is not a de Polignac number, because 2102120212101 - 2⁷ = 2102120211973 is a prime.

It is a super-2 number, since 2×2102120212101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102120212109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051584900 + ... + 1051586898.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880000).

Almost surely, 2^{2102120212101} is an apocalyptic number.

2102120212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102120212101 is a deficient number, since it is larger than the sum of its proper divisors (1427976427899).

2102120212101 is a wasteful number, since it uses less digits than its factorization.

2102120212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102120212101 its reverse (1012120212012), we get a palindrome (3114240424113).

The spelling of 2102120212101 in words is "two trillion, one hundred two billion, one hundred twenty million, two hundred twelve thousand, one hundred one".