2100100201101 has 24 divisors (see below), whose sum is σ = 3484983051264. Its totient is φ = 1193774228640.

The previous prime is 2100100201079. The next prime is 2100100201139. The reversal of 2100100201101 is 1011020010012.

It is a happy number.

It is not a de Polignac number, because 2100100201101 - 2¹⁹ = 2100099676813 is a prime.

It is a super-2 number, since 2×2100100201101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100201151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87252166 + ... + 87276231.

It is an arithmetic number, because the mean of its divisors is an integer number (145207627136).

Almost surely, 2^{2100100201101} is an apocalyptic number.

2100100201101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100100201101 is a deficient number, since it is larger than the sum of its proper divisors (1384882850163).

2100100201101 is a wasteful number, since it uses less digits than its factorization.

2100100201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174528601 (or 174528598 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100100201101 its reverse (1011020010012), we get a palindrome (3111120211113).

The spelling of 2100100201101 in words is "two trillion, one hundred billion, one hundred million, two hundred one thousand, one hundred one".