11100022122112 has 128 divisors (see below), whose sum is σ = 27734953236480. Its totient is φ = 4298786995200.

The previous prime is 11100022122097. The next prime is 11100022122127. The reversal of 11100022122112 is 21122122000111.

It is an interprime number because it is at equal distance from previous prime (11100022122097) and next prime (11100022122127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11100022122112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725964 + ... + 5017867.

It is an arithmetic number, because the mean of its divisors is an integer number (216679322160).

Almost surely, 2^{11100022122112} is an apocalyptic number.

It is an amenable number.

11100022122112 is an abundant number, since it is smaller than the sum of its proper divisors (16634931114368).

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

11100022122112 is a wasteful number, since it uses less digits than its factorization.

11100022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744030 (or 6744018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11100022122112 its reverse (21122122000111), we get a palindrome (32222144122223).

The spelling of 11100022122112 in words is "eleven trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".