10212515040 has 768 divisors, whose sum is σ = 41699266560. Its totient is φ = 2043740160.

The previous prime is 10212515023. The next prime is 10212515113. The reversal of 10212515040 is 4051521201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10212514998 and 10212515016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114747316 + ... + 114747404.

It is an arithmetic number, because the mean of its divisors is an integer number (54295920).

Almost surely, 2^10212515040 is an apocalyptic number.

10212515040 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 10212515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849633280).

10212515040 is an abundant number, since it is smaller than the sum of its proper divisors (31486751520).

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

10212515040 is a wasteful number, since it uses less digits than its factorization.

10212515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 10212515040 in words is "ten billion, two hundred twelve million, five hundred fifteen thousand, forty".