301013100102220 has 192 divisors, whose sum is σ = 707049851751936. Its totient is φ = 106698858577920.

The previous prime is 301013100102191. The next prime is 301013100102233. The reversal of 301013100102220 is 22201001310103.

It is a junction number, because it is equal to n+sod(n) for n = 301013100102194 and 301013100102203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18191391987 + ... + 18191408533.

It is an arithmetic number, because the mean of its divisors is an integer number (3682551311208).

Almost surely, 2^{301013100102220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301013100102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353524925875968).

301013100102220 is an abundant number, since it is smaller than the sum of its proper divisors (406036751649716).

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

301013100102220 is a wasteful number, since it uses less digits than its factorization.

301013100102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20360 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 301013100102220 its reverse (22201001310103), we get a palindrome (323214101412323).

The spelling of 301013100102220 in words is "three hundred one trillion, thirteen billion, one hundred million, one hundred two thousand, two hundred twenty".