101884251036672 has 440 divisors, whose sum is σ = 333021377545472. Its totient is φ = 30835062374400.

The previous prime is 101884251036647. The next prime is 101884251036707. The reversal of 101884251036672 is 276630152488101.

It is a happy number.

101884251036672 is a `hidden beast` number, since 1 + 0 + 1 + 88 + 42 + 510 + 3 + 6 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65000097 + ... + 66549087.

Almost surely, 2^{101884251036672} is an apocalyptic number.

101884251036672 is a gapful number since it is divisible by the number (12) 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 101884251036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166510688772736).

101884251036672 is an abundant number, since it is smaller than the sum of its proper divisors (231137126508800).

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

101884251036672 is a wasteful number, since it uses less digits than its factorization.

101884251036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549097 (or 1549070 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 101884251036672 in words is "one hundred one trillion, eight hundred eighty-four billion, two hundred fifty-one million, thirty-six thousand, six hundred seventy-two".