11651612312100 has 144 divisors (see below), whose sum is σ = 34886545243200. Its totient is φ = 2998917573120.

The previous prime is 11651612312063. The next prime is 11651612312143. The reversal of 11651612312100 is 121321615611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25078107 + ... + 25538493.

It is an arithmetic number, because the mean of its divisors is an integer number (242267675300).

Almost surely, 2^{11651612312100} is an apocalyptic number.

11651612312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11651612312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443272621600).

11651612312100 is an abundant number, since it is smaller than the sum of its proper divisors (23234932931100).

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

11651612312100 is a wasteful number, since it uses less digits than its factorization.

11651612312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463342 (or 463335 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

Adding to 11651612312100 its reverse (121321615611), we get a palindrome (11772933927711).

The spelling of 11651612312100 in words is "eleven trillion, six hundred fifty-one billion, six hundred twelve million, three hundred twelve thousand, one hundred".