101851207920 has 1200 divisors, whose sum is σ = 454495526496. Its totient is φ = 21076070400.

The previous prime is 101851207903. The next prime is 101851208051. The reversal of 101851207920 is 29702158101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 422619000 + ... + 422619240.

Almost surely, 2^101851207920 is an apocalyptic number.

101851207920 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 101851207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227247763248).

101851207920 is an abundant number, since it is smaller than the sum of its proper divisors (352644318576).

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

101851207920 is a wasteful number, since it uses less digits than its factorization.

101851207920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 101851207920 in words is "one hundred one billion, eight hundred fifty-one million, two hundred seven thousand, nine hundred twenty".