10106172121 has 8 divisors (see below), whose sum is σ = 10745429760. Its totient is φ = 9471889728.

The previous prime is 10106172113. The next prime is 10106172157. The reversal of 10106172121 is 12127160101.

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

It is not a de Polignac number, because 10106172121 - 2³ = 10106172113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10106172092 and 10106172101.

It is not an unprimeable number, because it can be changed into a prime (10106172221) 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, 1239621 + ... + 1247746.

It is an arithmetic number, because the mean of its divisors is an integer number (1343178720).

Almost surely, 2^10106172121 is an apocalyptic number.

It is an amenable number.

10106172121 is a deficient number, since it is larger than the sum of its proper divisors (639257639).

10106172121 is a wasteful number, since it uses less digits than its factorization.

10106172121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487623.

The product of its (nonzero) digits is 168, while the sum is 22.

The spelling of 10106172121 in words is "ten billion, one hundred six million, one hundred seventy-two thousand, one hundred twenty-one".