101959849332 has 240 divisors, whose sum is σ = 312486406848. Its totient is φ = 28644295680.

The previous prime is 101959849331. The next prime is 101959849373. The reversal of 101959849332 is 233948959101.

101959849332 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 598 + 49 + 3 + 3 + 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 not an unprimeable number, because it can be changed into a prime (101959849331) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4046838 + ... + 4071954.

Almost surely, 2^101959849332 is an apocalyptic number.

101959849332 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 101959849332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156243203424).

101959849332 is an abundant number, since it is smaller than the sum of its proper divisors (210526557516).

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

101959849332 is a wasteful number, since it uses less digits than its factorization.

101959849332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228 (or 25217 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 101959849332 in words is "one hundred one billion, nine hundred fifty-nine million, eight hundred forty-nine thousand, three hundred thirty-two".