2101210101001 has 16 divisors (see below), whose sum is σ = 2303885757888. Its totient is φ = 1900488601600.

The previous prime is 2101210100939. The next prime is 2101210101101. The reversal of 2101210101001 is 1001010121012.

It is a cyclic number.

It is not a de Polignac number, because 2101210101001 - 2²¹ = 2101208003849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101210101101) 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, 3413961 + ... + 3982153.

It is an arithmetic number, because the mean of its divisors is an integer number (143992859868).

Almost surely, 2^{2101210101001} is an apocalyptic number.

It is an amenable number.

2101210101001 is a deficient number, since it is larger than the sum of its proper divisors (202675656887).

2101210101001 is a wasteful number, since it uses less digits than its factorization.

2101210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569912.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101210101001 its reverse (1001010121012), we get a palindrome (3102220222013).

The spelling of 2101210101001 in words is "two trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one".