101110073028000 has 384 divisors, whose sum is σ = 335189209694976. Its totient is φ = 26642843136000.

The previous prime is 101110073027921. The next prime is 101110073028017. The reversal of 101110073028000 is 820370011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340855747 + ... + 341152253.

It is an arithmetic number, because the mean of its divisors is an integer number (872888566914).

Almost surely, 2^{101110073028000} is an apocalyptic number.

101110073028000 is a gapful number since it is divisible by the number (10) 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 101110073028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167594604847488).

101110073028000 is an abundant number, since it is smaller than the sum of its proper divisors (234079136666976).

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

101110073028000 is a wasteful number, since it uses less digits than its factorization.

101110073028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296873 (or 296855 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 101110073028000 in words is "one hundred one trillion, one hundred ten billion, seventy-three million, twenty-eight thousand".