101252420724 has 96 divisors (see below), whose sum is σ = 291070963456. Its totient is φ = 26676864000.

The previous prime is 101252420701. The next prime is 101252420741. The reversal of 101252420724 is 427024252101.

It is a junction number, because it is equal to n+sod(n) for n = 101252420691 and 101252420700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042224 + ... + 1135224.

Almost surely, 2^101252420724 is an apocalyptic number.

101252420724 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 101252420724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145535481728).

101252420724 is an abundant number, since it is smaller than the sum of its proper divisors (189818542732).

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

101252420724 is a wasteful number, since it uses less digits than its factorization.

101252420724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94025 (or 94023 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 101252420724 its reverse (427024252101), we get a palindrome (528276672825).

The spelling of 101252420724 in words is "one hundred one billion, two hundred fifty-two million, four hundred twenty thousand, seven hundred twenty-four".