101022013002300 has 144 divisors (see below), whose sum is σ = 314955053273952. Its totient is φ = 24852672230400.

The previous prime is 101022013002293. The next prime is 101022013002371. The reversal of 101022013002300 is 3200310220101.

It is a super-2 number, since 2×101022013002300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101022013002300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649239 + ... + 14229038.

It is an arithmetic number, because the mean of its divisors is an integer number (2187187869958).

Almost surely, 2^{101022013002300} is an apocalyptic number.

101022013002300 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 101022013002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157477526636976).

101022013002300 is an abundant number, since it is smaller than the sum of its proper divisors (213933040271652).

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

101022013002300 is a wasteful number, since it uses less digits than its factorization.

101022013002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880048 (or 14880041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101022013002300 its reverse (3200310220101), we get a palindrome (104222323222401).

The spelling of 101022013002300 in words is "one hundred one trillion, twenty-two billion, thirteen million, two thousand, three hundred".