101210106348561 has 16 divisors (see below), whose sum is σ = 154999923584000. Its totient is φ = 57543721625808.

The previous prime is 101210106348517. The next prime is 101210106348569. The reversal of 101210106348561 is 165843601012101.

It is not a de Polignac number, because 101210106348561 - 2³³ = 101201516413969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101210106348569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12109364851 + ... + 12109373208.

It is an arithmetic number, because the mean of its divisors is an integer number (9687495224000).

Almost surely, 2^{101210106348561} is an apocalyptic number.

It is an amenable number.

101210106348561 is a deficient number, since it is larger than the sum of its proper divisors (53789817235439).

101210106348561 is a wasteful number, since it uses less digits than its factorization.

101210106348561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24218738268.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 101210106348561 in words is "one hundred one trillion, two hundred ten billion, one hundred six million, three hundred forty-eight thousand, five hundred sixty-one".