2100100102101 has 16 divisors (see below), whose sum is σ = 3111283419520. Its totient is φ = 1400055930720.

The previous prime is 2100100102097. The next prime is 2100100102109. The reversal of 2100100102101 is 1012010010012.

It is a happy number.

It is not a de Polignac number, because 2100100102101 - 2² = 2100100102097 is a prime.

It is a super-2 number, since 2×2100100102101² (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 Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100102109) 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, 4904841 + ... + 5315793.

It is an arithmetic number, because the mean of its divisors is an integer number (194455213720).

Almost surely, 2^{2100100102101} is an apocalyptic number.

It is an amenable number.

2100100102101 is a deficient number, since it is larger than the sum of its proper divisors (1011183317419).

2100100102101 is a wasteful number, since it uses less digits than its factorization.

2100100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600233 (or 600227 counting only the distinct ones).

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

Adding to 2100100102101 its reverse (1012010010012), we get a palindrome (3112110112113).

The spelling of 2100100102101 in words is "two trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred one".