2102222101001 has 16 divisors (see below), whose sum is σ = 2297123712000. Its totient is φ = 1907953488000.

The previous prime is 2102222100919. The next prime is 2102222101009. The reversal of 2102222101001 is 1001012222012.

It is a cyclic number.

It is not a de Polignac number, because 2102222101001 - 2³⁸ = 1827344194057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102222101009) 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, 36976685 + ... + 37033493.

It is an arithmetic number, because the mean of its divisors is an integer number (143570232000).

Almost surely, 2^{2102222101001} is an apocalyptic number.

It is an amenable number.

2102222101001 is a deficient number, since it is larger than the sum of its proper divisors (194901610999).

2102222101001 is a wasteful number, since it uses less digits than its factorization.

2102222101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62320.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102222101001 its reverse (1001012222012), we get a palindrome (3103234323013).

The spelling of 2102222101001 in words is "two trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand, one".