101002412235520 has 144 divisors (see below), whose sum is σ = 244356450649920. Its totient is φ = 39996250112000.

The previous prime is 101002412235499. The next prime is 101002412235523. The reversal of 101002412235520 is 25532214200101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101002412235523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225403910 + ... + 1225486330.

It is an arithmetic number, because the mean of its divisors is an integer number (1696919796180).

Almost surely, 2^{101002412235520} is an apocalyptic number.

101002412235520 is a gapful number since it is divisible by the number (10) 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 101002412235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122178225324960).

101002412235520 is an abundant number, since it is smaller than the sum of its proper divisors (143354038414400).

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

101002412235520 is an equidigital number, since it uses as much as digits as its factorization.

101002412235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92022 (or 92008 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 101002412235520 its reverse (25532214200101), we get a palindrome (126534626435621).

The spelling of 101002412235520 in words is "one hundred one trillion, two billion, four hundred twelve million, two hundred thirty-five thousand, five hundred twenty".