101025655010661 has 16 divisors (see below), whose sum is σ = 135516072384000. Its totient is φ = 66944059345008.

The previous prime is 101025655010617. The next prime is 101025655010723. The reversal of 101025655010661 is 166010556520101.

It is not a de Polignac number, because 101025655010661 - 2⁶ = 101025655010597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101025655010561) 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, 152442711 + ... + 153103988.

It is an arithmetic number, because the mean of its divisors is an integer number (8469754524000).

Almost surely, 2^{101025655010661} is an apocalyptic number.

It is an amenable number.

101025655010661 is a deficient number, since it is larger than the sum of its proper divisors (34490417373339).

101025655010661 is a wasteful number, since it uses less digits than its factorization.

101025655010661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305547368.

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 101025655010661 in words is "one hundred one trillion, twenty-five billion, six hundred fifty-five million, ten thousand, six hundred sixty-one".