101871952200 has 108 divisors (see below), whose sum is σ = 342165455385. Its totient is φ = 27162242880.

The previous prime is 101871952177. The next prime is 101871952241. The reversal of 101871952200 is 2259178101.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 99834513156 + 2037439044 = 315966^2 + 45138^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=225690.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13537639 + ... + 13545161.

Almost surely, 2^101871952200 is an apocalyptic number.

101871952200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101871952200 is an abundant number, since it is smaller than the sum of its proper divisors (240293503185).

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

101871952200 is an frugal number, since it uses more digits than its factorization.

101871952200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068 (or 7533 counting only the distinct ones).

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

The spelling of 101871952200 in words is "one hundred one billion, eight hundred seventy-one million, nine hundred fifty-two thousand, two hundred".