101242023202320 has 1280 divisors, whose sum is σ = 434648708702208. Its totient is φ = 18812734341120.

The previous prime is 101242023202289. The next prime is 101242023202387. The reversal of 101242023202320 is 23202320242101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2071084599 + ... + 2071133481.

Almost surely, 2^{101242023202320} is an apocalyptic number.

101242023202320 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 101242023202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324354351104).

101242023202320 is an abundant number, since it is smaller than the sum of its proper divisors (333406685499888).

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

101242023202320 is a wasteful number, since it uses less digits than its factorization.

101242023202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49200 (or 49194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101242023202320 its reverse (23202320242101), we get a palindrome (124444343444421).

The spelling of 101242023202320 in words is "one hundred one trillion, two hundred forty-two billion, twenty-three million, two hundred two thousand, three hundred twenty".