10220001010120 has 64 divisors (see below), whose sum is σ = 25697297485440. Its totient is φ = 3625720972800.

The previous prime is 10220001010117. The next prime is 10220001010123. The reversal of 10220001010120 is 2101010002201.

It is an interprime number because it is at equal distance from previous prime (10220001010117) and next prime (10220001010123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10220001010097 and 10220001010106.

It is not an unprimeable number, because it can be changed into a prime (10220001010123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283241412 + ... + 283277491.

It is an arithmetic number, because the mean of its divisors is an integer number (401520273210).

Almost surely, 2^{10220001010120} is an apocalyptic number.

10220001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220001010120 is an abundant number, since it is smaller than the sum of its proper divisors (15477296475320).

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

10220001010120 is a wasteful number, since it uses less digits than its factorization.

10220001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566518966 (or 566518962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220001010120 its reverse (2101010002201), we get a palindrome (12321011012321).

The spelling of 10220001010120 in words is "ten trillion, two hundred twenty billion, one million, ten thousand, one hundred twenty".