10220100331301 has 72 divisors (see below), whose sum is σ = 12333410272512. Its totient is φ = 8443627920000.

The previous prime is 10220100331297. The next prime is 10220100331369. The reversal of 10220100331301 is 10313300102201.

10220100331301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220100331301 - 2² = 10220100331297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10220100331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220100337301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4365697391 + ... + 4365699731.

It is an arithmetic number, because the mean of its divisors is an integer number (171297364896).

Almost surely, 2^{10220100331301} is an apocalyptic number.

It is an amenable number.

10220100331301 is a deficient number, since it is larger than the sum of its proper divisors (2113309941211).

10220100331301 is a wasteful number, since it uses less digits than its factorization.

10220100331301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10220100331301 its reverse (10313300102201), we get a palindrome (20533400433502).

The spelling of 10220100331301 in words is "ten trillion, two hundred twenty billion, one hundred million, three hundred thirty-one thousand, three hundred one".