1110101122000 has 160 divisors (see below), whose sum is σ = 3060745912224. Its totient is φ = 385772544000.

The previous prime is 1110101121977. The next prime is 1110101122007. The reversal of 1110101122000 is 2211010111.

It can be written as a sum of positive squares in 16 ways, for example, as 980599023504 + 129502098496 = 990252^2 + 359864^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110101122007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813771 + ... + 1697770.

Almost surely, 2^{1110101122000} is an apocalyptic number.

1110101122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110101122000 is an abundant number, since it is smaller than the sum of its proper divisors (1950644790224).

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

1110101122000 is a wasteful number, since it uses less digits than its factorization.

1110101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511594 (or 2511578 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110101122000 its reverse (2211010111), we get a palindrome (1112312132111).

The spelling of 1110101122000 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred twenty-two thousand".