1100010121092 has 192 divisors, whose sum is σ = 3017019801600. Its totient is φ = 345888766080.

The previous prime is 1100010120947. The next prime is 1100010121139. The reversal of 1100010121092 is 2901210100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202316598 + ... + 202322034.

It is an arithmetic number, because the mean of its divisors is an integer number (15713644800).

Almost surely, 2^{1100010121092} is an apocalyptic number.

1100010121092 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 1100010121092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508509900800).

1100010121092 is an abundant number, since it is smaller than the sum of its proper divisors (1917009680508).

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

1100010121092 is a wasteful number, since it uses less digits than its factorization.

1100010121092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1100010121092 in words is "one trillion, one hundred billion, ten million, one hundred twenty-one thousand, ninety-two".