10221308697600 has 6336 divisors, whose sum is σ = 54446715187200. Its totient is φ = 1821848371200.

The previous prime is 10221308697557. The next prime is 10221308697629. The reversal of 10221308697600 is 679680312201.

10221308697600 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 30 + 8 + 6 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 129383654361 + ... + 129383654439.

Almost surely, 2^{10221308697600} is an apocalyptic number.

10221308697600 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 10221308697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27223357593600).

10221308697600 is an abundant number, since it is smaller than the sum of its proper divisors (44225406489600).

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

10221308697600 is a wasteful number, since it uses less digits than its factorization.

10221308697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10221308697600 in words is "ten trillion, two hundred twenty-one billion, three hundred eight million, six hundred ninety-seven thousand, six hundred".