10010100102101 has 16 divisors (see below), whose sum is σ = 11031617016000. Its totient is φ = 9007223184000.

The previous prime is 10010100102071. The next prime is 10010100102131. The reversal of 10010100102101 is 10120100101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010100102071) and next prime (10010100102131).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010100102101 is a prime.

It is a super-2 number, since 2×10010100102101² (a number of 27 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 (10010100102131) 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, 2238425 + ... + 5003073.

It is an arithmetic number, because the mean of its divisors is an integer number (689476063500).

Almost surely, 2^{10010100102101} is an apocalyptic number.

10010100102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010100102101 is a deficient number, since it is larger than the sum of its proper divisors (1021516913899).

10010100102101 is a wasteful number, since it uses less digits than its factorization.

10010100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768020.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010100102101 its reverse (10120100101001), we get a palindrome (20130200203102).

The spelling of 10010100102101 in words is "ten trillion, ten billion, one hundred million, one hundred two thousand, one hundred one".