101121890194689 has 64 divisors (see below), whose sum is σ = 167034418790400. Its totient is φ = 52988775114240.

The previous prime is 101121890194651. The next prime is 101121890194733. The reversal of 101121890194689 is 986491098121101.

It is not a de Polignac number, because 101121890194689 - 2¹¹ = 101121890192641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121890194649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77817712 + ... + 79106510.

It is an arithmetic number, because the mean of its divisors is an integer number (2609912793600).

Almost surely, 2^{101121890194689} is an apocalyptic number.

It is an amenable number.

101121890194689 is a deficient number, since it is larger than the sum of its proper divisors (65912528595711).

101121890194689 is a wasteful number, since it uses less digits than its factorization.

101121890194689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290710.

The product of its (nonzero) digits is 2239488, while the sum is 60.

The spelling of 101121890194689 in words is "one hundred one trillion, one hundred twenty-one billion, eight hundred ninety million, one hundred ninety-four thousand, six hundred eighty-nine".