10102551520404 has 192 divisors, whose sum is σ = 28733883494400. Its totient is φ = 2698405788672.

The previous prime is 10102551520403. The next prime is 10102551520547. The reversal of 10102551520404 is 40402515520101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102551520403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71377434 + ... + 71518830.

It is an arithmetic number, because the mean of its divisors is an integer number (149655643200).

Almost surely, 2^{10102551520404} is an apocalyptic number.

10102551520404 is a gapful number since it is divisible by the number (14) 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 10102551520404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366941747200).

10102551520404 is an abundant number, since it is smaller than the sum of its proper divisors (18631331973996).

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

10102551520404 is a wasteful number, since it uses less digits than its factorization.

10102551520404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142022 (or 142020 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 10102551520404 in words is "ten trillion, one hundred two billion, five hundred fifty-one million, five hundred twenty thousand, four hundred four".