101010519413232 has 160 divisors (see below), whose sum is σ = 306597595831296. Its totient is φ = 28251538560000.

The previous prime is 101010519413179. The next prime is 101010519413239. The reversal of 101010519413232 is 232314915010101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 101010519413193 and 101010519413202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010519413239) 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 31 ways as a sum of consecutive naturals, for example, 61048857 + ... + 62681607.

Almost surely, 2^{101010519413232} is an apocalyptic number.

101010519413232 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 101010519413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153298797915648).

101010519413232 is an abundant number, since it is smaller than the sum of its proper divisors (205587076418064).

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

101010519413232 is a wasteful number, since it uses less digits than its factorization.

101010519413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641799 (or 1641793 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 101010519413232 in words is "one hundred one trillion, ten billion, five hundred nineteen million, four hundred thirteen thousand, two hundred thirty-two".