10001013023220 has 192 divisors, whose sum is σ = 28480959763200. Its totient is φ = 2621874585600.

The previous prime is 10001013023203. The next prime is 10001013023227. The reversal of 10001013023220 is 2232031010001.

It is a super-2 number, since 2×10001013023220² (a number of 27 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 10001013023220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001013023227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467304520 + ... + 467325920.

It is an arithmetic number, because the mean of its divisors is an integer number (148338332100).

Almost surely, 2^{10001013023220} is an apocalyptic number.

10001013023220 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 10001013023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240479881600).

10001013023220 is an abundant number, since it is smaller than the sum of its proper divisors (18479946739980).

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

10001013023220 is a wasteful number, since it uses less digits than its factorization.

10001013023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22098 (or 22096 counting only the distinct ones).

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

Adding to 10001013023220 its reverse (2232031010001), we get a palindrome (12233044033221).

The spelling of 10001013023220 in words is "ten trillion, one billion, thirteen million, twenty-three thousand, two hundred twenty".