10121617101 has 4 divisors (see below), whose sum is σ = 13495489472. Its totient is φ = 6747744732.

The previous prime is 10121617027. The next prime is 10121617109. The reversal of 10121617101 is 10171612101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10121617101 - 2¹⁴ = 10121600717 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 (10121617109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1686936181 + ... + 1686936186.

It is an arithmetic number, because the mean of its divisors is an integer number (3373872368).

Almost surely, 2^10121617101 is an apocalyptic number.

It is an amenable number.

10121617101 is a deficient number, since it is larger than the sum of its proper divisors (3373872371).

10121617101 is an equidigital number, since it uses as much as digits as its factorization.

10121617101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373872370.

The product of its (nonzero) digits is 84, while the sum is 21.

Subtracting 10121617101 from its reverse (10171612101), we obtain a triangular number (49995000 = T₉₉₉₉).

The spelling of 10121617101 in words is "ten billion, one hundred twenty-one million, six hundred seventeen thousand, one hundred one".