101002113024 has 208 divisors, whose sum is σ = 274645147392. Its totient is φ = 33006813184.

The previous prime is 101002112963. The next prime is 101002113089. The reversal of 101002113024 is 420311200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002112994 and 101002113012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170323672 + ... + 170324264.

Almost surely, 2^101002113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137322573696).

101002113024 is an abundant number, since it is smaller than the sum of its proper divisors (173643034368).

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

101002113024 is an equidigital number, since it uses as much as digits as its factorization.

101002113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101002113024 its reverse (420311200101), we get a palindrome (521313313125).

The spelling of 101002113024 in words is "one hundred one billion, two million, one hundred thirteen thousand, twenty-four".