2101002202101 has 32 divisors (see below), whose sum is σ = 3099067906176. Its totient is φ = 1255495680000.

The previous prime is 2101002202043. The next prime is 2101002202129. The reversal of 2101002202101 is 1012022001012.

It is not a de Polignac number, because 2101002202101 - 2⁷ = 2101002201973 is a prime.

It is a super-3 number, since 3×2101002202101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101002202151) 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, 504556 + ... + 2111061.

It is an arithmetic number, because the mean of its divisors is an integer number (96845872068).

Almost surely, 2^{2101002202101} is an apocalyptic number.

It is an amenable number.

2101002202101 is a deficient number, since it is larger than the sum of its proper divisors (998065704075).

2101002202101 is a wasteful number, since it uses less digits than its factorization.

2101002202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615973.

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

Adding to 2101002202101 its reverse (1012022001012), we get a palindrome (3113024203113).

The spelling of 2101002202101 in words is "two trillion, one hundred one billion, two million, two hundred two thousand, one hundred one".