11121975062100 has 1296 divisors, whose sum is σ = 44155833845760. Its totient is φ = 2417989190400.

The previous prime is 11121975062027. The next prime is 11121975062153. The reversal of 11121975062100 is 126057912111.

11121975062100 is a `hidden beast` number, since 1 + 1 + 1 + 21 + 9 + 7 + 5 + 0 + 621 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2177787747 + ... + 2177792853.

Almost surely, 2^{11121975062100} is an apocalyptic number.

11121975062100 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 11121975062100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22077916922880).

11121975062100 is an abundant number, since it is smaller than the sum of its proper divisors (33033858783660).

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

11121975062100 is a wasteful number, since it uses less digits than its factorization.

11121975062100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 11121975062100 in words is "eleven trillion, one hundred twenty-one billion, nine hundred seventy-five million, sixty-two thousand, one hundred".