11102122013292 has 120 divisors (see below), whose sum is σ = 29097858599040. Its totient is φ = 3691186640640.

The previous prime is 11102122013291. The next prime is 11102122013329. The reversal of 11102122013292 is 29231022120111.

11102122013292 is a `hidden beast` number, since 1 + 110 + 2 + 1 + 220 + 1 + 329 + 2 = 666.

It is a super-2 number, since 2×11102122013292² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11102122013291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406107048 + ... + 406134384.

It is an arithmetic number, because the mean of its divisors is an integer number (242482154992).

Almost surely, 2^{11102122013292} is an apocalyptic number.

11102122013292 is a gapful number since it is divisible by the number (12) 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 11102122013292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548929299520).

11102122013292 is an abundant number, since it is smaller than the sum of its proper divisors (17995736585748).

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

11102122013292 is a wasteful number, since it uses less digits than its factorization.

11102122013292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30533 (or 30522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11102122013292 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, thirteen thousand, two hundred ninety-two".