2101122210101 has 8 divisors (see below), whose sum is σ = 2211738119520. Its totient is φ = 1990509353712.

The previous prime is 2101122210043. The next prime is 2101122210113. The reversal of 2101122210101 is 1010122211012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2101122210101 - 2¹⁰ = 2101122209077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122210191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723686 + ... + 2173928.

It is an arithmetic number, because the mean of its divisors is an integer number (276467264940).

Almost surely, 2^{2101122210101} is an apocalyptic number.

It is an amenable number.

2101122210101 is a deficient number, since it is larger than the sum of its proper divisors (110615909419).

2101122210101 is a wasteful number, since it uses less digits than its factorization.

2101122210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526515.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101122210101 its reverse (1010122211012), we get a palindrome (3111244421113).

The spelling of 2101122210101 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred one".