1161161510100 has 72 divisors (see below), whose sum is σ = 3362061251808. Its totient is φ = 309418742400.

The previous prime is 1161161509997. The next prime is 1161161510147. The reversal of 1161161510100 is 10151611611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987054 + ... + 1815653.

It is an arithmetic number, because the mean of its divisors is an integer number (46695295164).

Almost surely, 2^{1161161510100} is an apocalyptic number.

1161161510100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161161510100 is an abundant number, since it is smaller than the sum of its proper divisors (2200899741708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1161161510100 is a wasteful number, since it uses less digits than its factorization.

1161161510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804105 (or 2804098 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 24.

The spelling of 1161161510100 in words is "one trillion, one hundred sixty-one billion, one hundred sixty-one million, five hundred ten thousand, one hundred".