101151033984 has 768 divisors, whose sum is σ = 408086985600. Its totient is φ = 24246190080.

The previous prime is 101151033983. The next prime is 101151034043. The reversal of 101151033984 is 489330151101.

It is a happy number.

101151033984 is a `hidden beast` number, since 10 + 11 + 510 + 33 + 98 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101151033983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24214104 + ... + 24218280.

Almost surely, 2^101151033984 is an apocalyptic number.

101151033984 is a gapful number since it is divisible by the number (14) 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 101151033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204043492800).

101151033984 is an abundant number, since it is smaller than the sum of its proper divisors (306935951616).

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

101151033984 is a wasteful number, since it uses less digits than its factorization.

101151033984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 101151033984 in words is "one hundred one billion, one hundred fifty-one million, thirty-three thousand, nine hundred eighty-four".