11121211210095 has 64 divisors (see below), whose sum is σ = 22692453488640. Its totient is φ = 5062162500864.

The previous prime is 11121211210069. The next prime is 11121211210157. The reversal of 11121211210095 is 59001211212111.

It is not a de Polignac number, because 11121211210095 - 2¹² = 11121211205999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25034059 + ... + 25474428.

It is an arithmetic number, because the mean of its divisors is an integer number (354569585760).

Almost surely, 2^{11121211210095} is an apocalyptic number.

11121211210095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11121211210095 is an abundant number, since it is smaller than the sum of its proper divisors (11571242278545).

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

11121211210095 is a wasteful number, since it uses less digits than its factorization.

11121211210095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50508741 (or 50508735 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 11121211210095 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, ninety-five".