10029710138112 has 1440 divisors, whose sum is σ = 36865442718720. Its totient is φ = 2651195473920.

The previous prime is 10029710138093. The next prime is 10029710138143. The reversal of 10029710138112 is 21183101792001.

It is a super-2 number, since 2×10029710138112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11058114363 + ... + 11058115269.

It is an arithmetic number, because the mean of its divisors is an integer number (25601001888).

Almost surely, 2^{10029710138112} is an apocalyptic number.

10029710138112 is a gapful number since it is divisible by the number (12) 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 10029710138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432721359360).

10029710138112 is an abundant number, since it is smaller than the sum of its proper divisors (26835732580608).

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

10029710138112 is an equidigital number, since it uses as much as digits as its factorization.

10029710138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 10029710138112 in words is "ten trillion, twenty-nine billion, seven hundred ten million, one hundred thirty-eight thousand, one hundred twelve".