10000010100101 has 32 divisors (see below), whose sum is σ = 11879860371456. Its totient is φ = 8236893240000.

The previous prime is 10000010100089. The next prime is 10000010100263. The reversal of 10000010100101 is 10100101000001.

It is a cyclic number.

It is not a de Polignac number, because 10000010100101 - 2³⁸ = 9725132193157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000010102101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88775051 + ... + 88887623.

It is an arithmetic number, because the mean of its divisors is an integer number (371245636608).

Almost surely, 2^{10000010100101} is an apocalyptic number.

It is an amenable number.

10000010100101 is a deficient number, since it is larger than the sum of its proper divisors (1879850271355).

10000010100101 is a wasteful number, since it uses less digits than its factorization.

10000010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115473.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000010100101 its reverse (10100101000001), we get a palindrome (20100111100102).

The spelling of 10000010100101 in words is "ten trillion, ten million, one hundred thousand, one hundred one".