101048196672 has 42 divisors (see below), whose sum is σ = 289636412598. Its totient is φ = 33682732032.

The previous prime is 101048196661. The next prime is 101048196703. The reversal of 101048196672 is 276691840101.

101048196672 is a `hidden beast` number, since 1 + 0 + 10 + 481 + 96 + 6 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89942409216 + 11105787456 = 299904^2 + 105384^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87714873 + ... + 87716024.

Almost surely, 2^101048196672 is an apocalyptic number.

101048196672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101048196672 is an abundant number, since it is smaller than the sum of its proper divisors (188588215926).

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

101048196672 is a wasteful number, since it uses less digits than its factorization.

101048196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175430915 (or 175430902 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101048196672 in words is "one hundred one billion, forty-eight million, one hundred ninety-six thousand, six hundred seventy-two".