2961118224100 has 27 divisors (see below), whose sum is σ = 6425663887657. Its totient is φ = 1184440406480.

The previous prime is 2961118224089. The next prime is 2961118224131. The reversal of 2961118224100 is 14228111692.

The square root of 2961118224100 is 1720790.

It is a perfect power (a square), and thus also a powerful number.

2961118224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1066002560676 + 1895115663424 = 1032474^2 + 1376632^2 .

It is a super-2 number, since 2×2961118224100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2961118224100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17121861 + ... + 17293939.

Almost surely, 2^{2961118224100} is an apocalyptic number.

2961118224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2961118224100 is the 1720790-th square number.

It is an amenable number.

2961118224100 is an abundant number, since it is smaller than the sum of its proper divisors (3464545663557).

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

2961118224100 is an frugal number, since it uses more digits than its factorization.

2961118224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344172 (or 172086 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 2961118224100 in words is "two trillion, nine hundred sixty-one billion, one hundred eighteen million, two hundred twenty-four thousand, one hundred".