10000000000101 has 32 divisors (see below), whose sum is σ = 14436223408000. Its totient is φ = 6135794945280.

The previous prime is 10000000000099. The next prime is 10000000000129. The reversal of 10000000000101 is 10100000000001.

It is not a de Polignac number, because 10000000000101 - 2¹ = 10000000000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

10000000000101 is a modest number, since divided by 101 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9999999999987 and 10000000000086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000200101) 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, 2192626 + ... + 4980723.

It is an arithmetic number, because the mean of its divisors is an integer number (451131981500).

Almost surely, 2^{10000000000101} is an apocalyptic number.

It is an amenable number.

10000000000101 is a deficient number, since it is larger than the sum of its proper divisors (4436223407899).

10000000000101 is a wasteful number, since it uses less digits than its factorization.

10000000000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174069.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000000000101 its reverse (10100000000001), we get a palindrome (20100000000102).

The spelling of 10000000000101 in words is "ten trillion, one hundred one", and thus it is an aban number.