10101110012000 has 192 divisors, whose sum is σ = 28787264303616. Its totient is φ = 3411546969600.

The previous prime is 10101110011997. The next prime is 10101110012017. The reversal of 10101110012000 is 21001110101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816194 + ... + 4568193.

It is an arithmetic number, because the mean of its divisors is an integer number (149933668248).

Almost surely, 2^{10101110012000} is an apocalyptic number.

10101110012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110012000 is an abundant number, since it is smaller than the sum of its proper divisors (18686154291616).

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

10101110012000 is an equidigital number, since it uses as much as digits as its factorization.

10101110012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384486 (or 5384468 counting only the distinct ones).

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

Adding to 10101110012000 its reverse (21001110101), we get a palindrome (10122111122101).

The spelling of 10101110012000 in words is "ten trillion, one hundred one billion, one hundred ten million, twelve thousand".