10150010172225 has 384 divisors, whose sum is σ = 24102457344000. Its totient is φ = 4064141952000.

The previous prime is 10150010172199. The next prime is 10150010172331. The reversal of 10150010172225 is 52227101005101.

10150010172225 is a `hidden beast` number, since 10 + 1 + 500 + 101 + 7 + 22 + 25 = 666.

It is not a de Polignac number, because 10150010172225 - 2⁷ = 10150010172097 is a prime.

It is a super-2 number, since 2×10150010172225² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 368956771 + ... + 368984279.

It is an arithmetic number, because the mean of its divisors is an integer number (62766816000).

Almost surely, 2^{10150010172225} is an apocalyptic number.

10150010172225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10150010172225 is an abundant number, since it is smaller than the sum of its proper divisors (13952447171775).

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

10150010172225 is a wasteful number, since it uses less digits than its factorization.

10150010172225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27806 (or 27795 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 10150010172225 its reverse (52227101005101), we get a palindrome (62377111177326).

The spelling of 10150010172225 in words is "ten trillion, one hundred fifty billion, ten million, one hundred seventy-two thousand, two hundred twenty-five".