100225200966132 has 192 divisors, whose sum is σ = 259660460666880. Its totient is φ = 29832002611200.

The previous prime is 100225200966109. The next prime is 100225200966197. The reversal of 100225200966132 is 231669002522001.

It is a super-2 number, since 2×100225200966132² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28161054969 + ... + 28161058527.

It is an arithmetic number, because the mean of its divisors is an integer number (1352398232640).

Almost surely, 2^{100225200966132} is an apocalyptic number.

100225200966132 is a gapful number since it is divisible by the number (12) 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 100225200966132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129830230333440).

100225200966132 is an abundant number, since it is smaller than the sum of its proper divisors (159435259700748).

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

100225200966132 is a wasteful number, since it uses less digits than its factorization.

100225200966132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 100225200966132 in words is "one hundred trillion, two hundred twenty-five billion, two hundred million, nine hundred sixty-six thousand, one hundred thirty-two".