101191472910 has 128 divisors (see below), whose sum is σ = 294592204800. Its totient is φ = 24513183360.

The previous prime is 101191472873. The next prime is 101191472927. The reversal of 101191472910 is 19274191101.

It is a happy number.

101191472910 is a `hidden beast` number, since 1 + 0 + 11 + 91 + 472 + 91 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4261992 + ... + 4285668.

It is an arithmetic number, because the mean of its divisors is an integer number (2301501600).

Almost surely, 2^101191472910 is an apocalyptic number.

101191472910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101191472910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147296102400).

101191472910 is an abundant number, since it is smaller than the sum of its proper divisors (193400731890).

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

101191472910 is a wasteful number, since it uses less digits than its factorization.

101191472910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25143 (or 25137 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 101191472910 in words is "one hundred one billion, one hundred ninety-one million, four hundred seventy-two thousand, nine hundred ten".