2101332313101 has 16 divisors (see below), whose sum is σ = 3202053894144. Its totient is φ = 1200752433264.

The previous prime is 2101332313049. The next prime is 2101332313123. The reversal of 2101332313101 is 1013132331012.

It is a happy number.

It is not a de Polignac number, because 2101332313101 - 2¹⁸ = 2101332050957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101332317101) 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, 3451120 + ... + 4014086.

It is an arithmetic number, because the mean of its divisors is an integer number (200128368384).

Almost surely, 2^{2101332313101} is an apocalyptic number.

2101332313101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101332313101 is a deficient number, since it is larger than the sum of its proper divisors (1100721581043).

2101332313101 is a wasteful number, since it uses less digits than its factorization.

2101332313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740720.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2101332313101 its reverse (1013132331012), we get a palindrome (3114464644113).

The spelling of 2101332313101 in words is "two trillion, one hundred one billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred one".