10110002102101 has 24 divisors (see below), whose sum is σ = 11621180716992. Its totient is φ = 8772068078400.

The previous prime is 10110002102059. The next prime is 10110002102129. The reversal of 10110002102101 is 10120120001101.

It is not a de Polignac number, because 10110002102101 - 2²³ = 10109993713493 is a prime.

It is a super-2 number, since 2×10110002102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110002102131) 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, 2702755 + ... + 5246416.

It is an arithmetic number, because the mean of its divisors is an integer number (484215863208).

Almost surely, 2^{10110002102101} is an apocalyptic number.

10110002102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110002102101 is a deficient number, since it is larger than the sum of its proper divisors (1511178614891).

10110002102101 is a wasteful number, since it uses less digits than its factorization.

10110002102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949673 (or 7949662 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10110002102101 its reverse (10120120001101), we get a palindrome (20230122103202).

The spelling of 10110002102101 in words is "ten trillion, one hundred ten billion, two million, one hundred two thousand, one hundred one".