10211520000 has 400 divisors, whose sum is σ = 37123016832. Its totient is φ = 2472960000.

The previous prime is 10211519977. The next prime is 10211520031. The reversal of 10211520000 is 2511201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559517 + ... + 10560483.

Almost surely, 2^10211520000 is an apocalyptic number.

10211520000 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 10211520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561508416).

10211520000 is an abundant number, since it is smaller than the sum of its proper divisors (26911496832).

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

10211520000 is an frugal number, since it uses more digits than its factorization.

10211520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The spelling of 10211520000 in words is "ten billion, two hundred eleven million, five hundred twenty thousand".