2101122121101 has 16 divisors (see below), whose sum is σ = 2815851360000. Its totient is φ = 1393579706688.

The previous prime is 2101122121099. The next prime is 2101122121103. The reversal of 2101122121101 is 1011212211012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101122121099) and next prime (2101122121103).

It is not a de Polignac number, because 2101122121101 - 2¹ = 2101122121099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122121103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240726 + ... + 2064023.

It is an arithmetic number, because the mean of its divisors is an integer number (175990710000).

Almost surely, 2^{2101122121101} is an apocalyptic number.

It is an amenable number.

2101122121101 is a deficient number, since it is larger than the sum of its proper divisors (714729238899).

2101122121101 is a wasteful number, since it uses less digits than its factorization.

2101122121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306308.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2101122121101 its reverse (1011212211012), we get a palindrome (3112334332113).

The spelling of 2101122121101 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".