1095101009961 has 32 divisors (see below), whose sum is σ = 1722647543808. Its totient is φ = 605553347520.

The previous prime is 1095101009929. The next prime is 1095101010001. The reversal of 1095101009961 is 1699001015901.

It is not a de Polignac number, because 1095101009961 - 2⁵ = 1095101009929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1095101009911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17126496 + ... + 17190318.

It is an arithmetic number, because the mean of its divisors is an integer number (53832735744).

Almost surely, 2^{1095101009961} is an apocalyptic number.

It is an amenable number.

1095101009961 is a deficient number, since it is larger than the sum of its proper divisors (627546533847).

1095101009961 is a wasteful number, since it uses less digits than its factorization.

1095101009961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90221.

The product of its (nonzero) digits is 21870, while the sum is 42.

The spelling of 1095101009961 in words is "one trillion, ninety-five billion, one hundred one million, nine thousand, nine hundred sixty-one".