2210100102101 has 8 divisors (see below), whose sum is σ = 2312799417600. Its totient is φ = 2107951453872.

The previous prime is 2210100102071. The next prime is 2210100102107. The reversal of 2210100102101 is 1012010010122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2210100102101 - 2⁶ = 2210100102037 is a prime.

It is a super-2 number, since 2×2210100102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210100102107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137658605 + ... + 137674658.

It is an arithmetic number, because the mean of its divisors is an integer number (289099927200).

Almost surely, 2^{2210100102101} is an apocalyptic number.

It is an amenable number.

2210100102101 is a deficient number, since it is larger than the sum of its proper divisors (102699315499).

2210100102101 is a wasteful number, since it uses less digits than its factorization.

2210100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275333635.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2210100102101 its reverse (1012010010122), we get a palindrome (3222110112223).

The spelling of 2210100102101 in words is "two trillion, two hundred ten billion, one hundred million, one hundred two thousand, one hundred one".