10106000055101 has 16 divisors (see below), whose sum is σ = 10162463416320. Its totient is φ = 10049665353840.

The previous prime is 10106000055097. The next prime is 10106000055131. The reversal of 10106000055101 is 10155000060101.

It is a cyclic number.

It is not a de Polignac number, because 10106000055101 - 2² = 10106000055097 is a prime.

It is a super-2 number, since 2×10106000055101² (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 (10106000055131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529460780 + ... + 529479866.

It is an arithmetic number, because the mean of its divisors is an integer number (635153963520).

Almost surely, 2^{10106000055101} is an apocalyptic number.

It is an amenable number.

10106000055101 is a deficient number, since it is larger than the sum of its proper divisors (56463361219).

10106000055101 is a wasteful number, since it uses less digits than its factorization.

10106000055101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22304.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 10106000055101 in words is "ten trillion, one hundred six billion, fifty-five thousand, one hundred one".