10021601167200 has 1080 divisors, whose sum is σ = 43663190033232. Its totient is φ = 2228716062720.

The previous prime is 10021601167199. The next prime is 10021601167213. The reversal of 10021601167200 is 276110612001.

It is a happy number.

10021601167200 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 601 + 16 + 7 + 20 + 0 = 666.

10021601167200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 117439749 + ... + 117525051.

Almost surely, 2^{10021601167200} is an apocalyptic number.

10021601167200 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 10021601167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831595016616).

10021601167200 is an abundant number, since it is smaller than the sum of its proper divisors (33641588866032).

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

10021601167200 is a wasteful number, since it uses less digits than its factorization.

10021601167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85386 (or 85357 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 10021601167200 its reverse (276110612001), we get a palindrome (10297711779201).

The spelling of 10021601167200 in words is "ten trillion, twenty-one billion, six hundred one million, one hundred sixty-seven thousand, two hundred".