101252506023000 has 192 divisors, whose sum is σ = 346078792987200. Its totient is φ = 26697289766400.

The previous prime is 101252506022981. The next prime is 101252506023007. The reversal of 101252506023000 is 320605252101.

It is a happy number.

101252506023000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 2 + 50 + 602 + 3 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×101252506023000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101252506023007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62402812 + ... + 64004811.

It is an arithmetic number, because the mean of its divisors is an integer number (1802493713475).

Almost surely, 2^{101252506023000} is an apocalyptic number.

101252506023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101252506023000 is an abundant number, since it is smaller than the sum of its proper divisors (244826286964200).

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

101252506023000 is a wasteful number, since it uses less digits than its factorization.

101252506023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126407739 (or 126407722 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 101252506023000 in words is "one hundred one trillion, two hundred fifty-two billion, five hundred six million, twenty-three thousand".