10062139101120 has 672 divisors, whose sum is σ = 40002900537600. Its totient is φ = 2392477876224.

The previous prime is 10062139101073. The next prime is 10062139101163. The reversal of 10062139101120 is 2110193126001.

It is a happy number.

10062139101120 is a `hidden beast` number, since 1 + 0 + 0 + 621 + 3 + 9 + 1 + 0 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24916171 + ... + 25316789.

It is an arithmetic number, because the mean of its divisors is an integer number (59528125800).

Almost surely, 2^{10062139101120} is an apocalyptic number.

10062139101120 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 10062139101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001450268800).

10062139101120 is an abundant number, since it is smaller than the sum of its proper divisors (29940761436480).

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

10062139101120 is a wasteful number, since it uses less digits than its factorization.

10062139101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400687 (or 400665 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10062139101120 in words is "ten trillion, sixty-two billion, one hundred thirty-nine million, one hundred one thousand, one hundred twenty".