10051061106101 has 32 divisors (see below), whose sum is σ = 10656145631232. Its totient is φ = 9460522653120.

The previous prime is 10051061106091. The next prime is 10051061106131. The reversal of 10051061106101 is 10160116015001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10051061106101 - 2³⁸ = 9776183199157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051061106131) 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, 2303701946 + ... + 2303706308.

It is an arithmetic number, because the mean of its divisors is an integer number (333004550976).

Almost surely, 2^{10051061106101} is an apocalyptic number.

It is an amenable number.

10051061106101 is a deficient number, since it is larger than the sum of its proper divisors (605084525131).

10051061106101 is a wasteful number, since it uses less digits than its factorization.

10051061106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 10051061106101 in words is "ten trillion, fifty-one billion, sixty-one million, one hundred six thousand, one hundred one".