2122101100101 has 16 divisors (see below), whose sum is σ = 2835621444096. Its totient is φ = 1411658461296.

The previous prime is 2122101100069. The next prime is 2122101100103. The reversal of 2122101100101 is 1010011012212.

It is not a de Polignac number, because 2122101100101 - 2⁵ = 2122101100069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122101100103) 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, 8145606 + ... + 8402088.

It is an arithmetic number, because the mean of its divisors is an integer number (177226340256).

Almost surely, 2^{2122101100101} is an apocalyptic number.

It is an amenable number.

2122101100101 is a deficient number, since it is larger than the sum of its proper divisors (713520343995).

2122101100101 is a wasteful number, since it uses less digits than its factorization.

2122101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262472.

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

Adding to 2122101100101 its reverse (1010011012212), we get a palindrome (3132112112313).

The spelling of 2122101100101 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred one".