10029816081012 has 1152 divisors, whose sum is σ = 32895391334400. Its totient is φ = 2315771707392.

The previous prime is 10029816081001. The next prime is 10029816081031. The reversal of 10029816081012 is 21018061892001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39026521588 + ... + 39026521844.

It is an arithmetic number, because the mean of its divisors is an integer number (28555027200).

Almost surely, 2^{10029816081012} is an apocalyptic number.

10029816081012 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 10029816081012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447695667200).

10029816081012 is an abundant number, since it is smaller than the sum of its proper divisors (22865575253388).

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

10029816081012 is a wasteful number, since it uses less digits than its factorization.

10029816081012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 10029816081012 in words is "ten trillion, twenty-nine billion, eight hundred sixteen million, eighty-one thousand, twelve".