100000000010101 has 32 divisors (see below), whose sum is σ = 105314886125568. Its totient is φ = 94878185702400.

The previous prime is 100000000010033. The next prime is 100000000010143. The reversal of 100000000010101 is 101010000000001.

It is a cyclic number.

It is not a de Polignac number, because 100000000010101 - 2¹¹ = 100000000008053 is a prime.

It is a Duffinian number.

100000000010101 is a modest number, since divided by 10101 gives 100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000000013101) 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, 46421556 + ... + 48527938.

It is an arithmetic number, because the mean of its divisors is an integer number (3291090191424).

Almost surely, 2^{100000000010101} is an apocalyptic number.

It is an amenable number.

100000000010101 is a deficient number, since it is larger than the sum of its proper divisors (5314886115467).

100000000010101 is a wasteful number, since it uses less digits than its factorization.

100000000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106741.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000000010101 its reverse (101010000000001), we get a palindrome (201010000010102).

The spelling of 100000000010101 in words is "one hundred trillion, ten thousand, one hundred one".