961011011101 has 8 divisors (see below), whose sum is σ = 961658450424. Its totient is φ = 960363724800.

The previous prime is 961011011089. The next prime is 961011011113. The reversal of 961011011101 is 101110110169.

It is an interprime number because it is at equal distance from previous prime (961011011089) and next prime (961011011113).

It can be written as a sum of positive squares in 4 ways, for example, as 132499640025 + 828511371076 = 364005^2 + 910226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 961011011101 - 2²⁵ = 960977456669 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 (961011011161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14294301 + ... + 14361373.

It is an arithmetic number, because the mean of its divisors is an integer number (120207306303).

Almost surely, 2^961011011101 is an apocalyptic number.

It is an amenable number.

961011011101 is a deficient number, since it is larger than the sum of its proper divisors (647439323).

961011011101 is a wasteful number, since it uses less digits than its factorization.

961011011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76511.

The product of its (nonzero) digits is 54, while the sum is 22.

The spelling of 961011011101 in words is "nine hundred sixty-one billion, eleven million, eleven thousand, one hundred one".