1110101012000 has 96 divisors (see below), whose sum is σ = 2727881498160. Its totient is φ = 443981260800.

The previous prime is 1110101011979. The next prime is 1110101012023. The reversal of 1110101012000 is 2101010111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32997449104 + 1077103562896 = 181652^2 + 1037836^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 41894756 + ... + 41921244.

Almost surely, 2^{1110101012000} is an apocalyptic number.

1110101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110101012000 is an abundant number, since it is smaller than the sum of its proper divisors (1617780486160).

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

1110101012000 is a wasteful number, since it uses less digits than its factorization.

1110101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36991 (or 36973 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1110101012000 its reverse (2101010111), we get a palindrome (1112202022111).

The spelling of 1110101012000 in words is "one trillion, one hundred ten billion, one hundred one million, twelve thousand".