2122100100101 has 8 divisors (see below), whose sum is σ = 2248689078360. Its totient is φ = 1995706628608.

The previous prime is 2122100100059. The next prime is 2122100100103. The reversal of 2122100100101 is 1010010012212.

It can be written as a sum of positive squares in 4 ways, for example, as 1472667196225 + 649432903876 = 1213535^2 + 805874^2 .

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 2122100100101 - 2²⁶ = 2122032991237 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 (2122100100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48854336 + ... + 48897753.

It is an arithmetic number, because the mean of its divisors is an integer number (281086134795).

Almost surely, 2^{2122100100101} is an apocalyptic number.

It is an amenable number.

2122100100101 is a deficient number, since it is larger than the sum of its proper divisors (126588978259).

2122100100101 is a wasteful number, since it uses less digits than its factorization.

2122100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97753383.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2122100100101 its reverse (1010010012212), we get a palindrome (3132110112313).

It can be divided in two parts, 21 and 22100100101, that added together give a palindrome (22100100122).

The spelling of 2122100100101 in words is "two trillion, one hundred twenty-two billion, one hundred million, one hundred thousand, one hundred one".