2121101022001 has 32 divisors (see below), whose sum is σ = 2425781923488. Its totient is φ = 1837322403840.

The previous prime is 2121101021989. The next prime is 2121101022109. The reversal of 2121101022001 is 1002201011212.

It can be written as a sum of positive squares in 16 ways, for example, as 469423671025 + 1651677350976 = 685145^2 + 1285176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121101022001 - 2⁵ = 2121101021969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121101022301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294880461 + ... + 294887653.

It is an arithmetic number, because the mean of its divisors is an integer number (75805685109).

Almost surely, 2^{2121101022001} is an apocalyptic number.

It is an amenable number.

2121101022001 is a deficient number, since it is larger than the sum of its proper divisors (304680901487).

2121101022001 is a wasteful number, since it uses less digits than its factorization.

2121101022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121101022001 its reverse (1002201011212), we get a palindrome (3123302033213).

The spelling of 2121101022001 in words is "two trillion, one hundred twenty-one billion, one hundred one million, twenty-two thousand, one".