10106056101 has 8 divisors (see below), whose sum is σ = 13495129504. Its totient is φ = 6727176720.

The previous prime is 10106056073. The next prime is 10106056127. The reversal of 10106056101 is 10165060101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10106056101 - 2¹¹ = 10106054053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106056151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546191 + ... + 2550156.

It is an arithmetic number, because the mean of its divisors is an integer number (1686891188).

Almost surely, 2^10106056101 is an apocalyptic number.

It is an amenable number.

10106056101 is a deficient number, since it is larger than the sum of its proper divisors (3389073403).

10106056101 is an equidigital number, since it uses as much as digits as its factorization.

10106056101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097011.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 10106056101 in words is "ten billion, one hundred six million, fifty-six thousand, one hundred one".