2961185749101 has 32 divisors (see below), whose sum is σ = 4615398345600. Its totient is φ = 1873921080960.

The previous prime is 2961185749097. The next prime is 2961185749117. The reversal of 2961185749101 is 1019475811692.

2961185749101 is a `hidden beast` number, since 2 + 9 + 61 + 1 + 8 + 574 + 9 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 2961185749101 - 2² = 2961185749097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961185742101) 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, 36107211 + ... + 36189128.

It is an arithmetic number, because the mean of its divisors is an integer number (144231198300).

Almost surely, 2^{2961185749101} is an apocalyptic number.

It is an amenable number.

2961185749101 is a deficient number, since it is larger than the sum of its proper divisors (1654212596499).

2961185749101 is a wasteful number, since it uses less digits than its factorization.

2961185749101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72296426 (or 72296420 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 2961185749101 in words is "two trillion, nine hundred sixty-one billion, one hundred eighty-five million, seven hundred forty-nine thousand, one hundred one".