100001210102101 has 64 divisors (see below), whose sum is σ = 132116488003584. Its totient is φ = 73280607206400.

The previous prime is 100001210102077. The next prime is 100001210102159. The reversal of 100001210102101 is 101201012100001.

It is not a de Polignac number, because 100001210102101 - 2⁵ = 100001210102069 is a prime.

It is a super-2 number, since 2×100001210102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001210100101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11000018566 + ... + 11000027656.

It is an arithmetic number, because the mean of its divisors is an integer number (2064320125056).

Almost surely, 2^{100001210102101} is an apocalyptic number.

100001210102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001210102101 is a deficient number, since it is larger than the sum of its proper divisors (32115277901483).

100001210102101 is a wasteful number, since it uses less digits than its factorization.

100001210102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14930.

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

Adding to 100001210102101 its reverse (101201012100001), we get a palindrome (201202222202102).

The spelling of 100001210102101 in words is "one hundred trillion, one billion, two hundred ten million, one hundred two thousand, one hundred one".