101025225113200 has 30 divisors (see below), whose sum is σ = 242713103335424. Its totient is φ = 40410090045120.

The previous prime is 101025225113147. The next prime is 101025225113201. The reversal of 101025225113200 is 2311522520101.

It is a happy number.

It is a super-2 number, since 2×101025225113200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101025225113201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126281530992 + ... + 126281531791.

Almost surely, 2^{101025225113200} is an apocalyptic number.

101025225113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101025225113200 is an abundant number, since it is smaller than the sum of its proper divisors (141687878222224).

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

101025225113200 is a wasteful number, since it uses less digits than its factorization.

101025225113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252563062801 (or 252563062790 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 101025225113200 its reverse (2311522520101), we get a palindrome (103336747633301).

The spelling of 101025225113200 in words is "one hundred one trillion, twenty-five billion, two hundred twenty-five million, one hundred thirteen thousand, two hundred".