1102112121100 has 18 divisors (see below), whose sum is σ = 2391583303004. Its totient is φ = 440844848400.

The previous prime is 1102112121059. The next prime is 1102112121127. The reversal of 1102112121100 is 11212112011.

It is a happy number.

It is a super-2 number, since 2×1102112121100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5510560506 + ... + 5510560705.

Almost surely, 2^{1102112121100} is an apocalyptic number.

1102112121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102112121100 is an abundant number, since it is smaller than the sum of its proper divisors (1289471181904).

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

1102112121100 is a wasteful number, since it uses less digits than its factorization.

1102112121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021121225 (or 11021121218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1102112121100 its reverse (11212112011), we get a palindrome (1113324233111).

The spelling of 1102112121100 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".