2121022100001 has 64 divisors (see below), whose sum is σ = 3259815100416. Its totient is φ = 1201654440000.

The previous prime is 2121022099993. The next prime is 2121022100003. The reversal of 2121022100001 is 1000012201212.

It is not a de Polignac number, because 2121022100001 - 2³ = 2121022099993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121022100001.

It is not an unprimeable number, because it can be changed into a prime (2121022100003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353555120 + ... + 1353556686.

It is an arithmetic number, because the mean of its divisors is an integer number (50934610944).

Almost surely, 2^{2121022100001} is an apocalyptic number.

2121022100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121022100001 is a deficient number, since it is larger than the sum of its proper divisors (1138793000415).

2121022100001 is a wasteful number, since it uses less digits than its factorization.

2121022100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121022100001 its reverse (1000012201212), we get a palindrome (3121034301213).

The spelling of 2121022100001 in words is "two trillion, one hundred twenty-one billion, twenty-two million, one hundred thousand, one".