10000122002220 has 768 divisors, whose sum is σ = 35027383910400. Its totient is φ = 2081549352960.

The previous prime is 10000122002203. The next prime is 10000122002261. The reversal of 10000122002220 is 2220022100001.

It is a super-3 number, since 3×10000122002220³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000122002196 and 10000122002205.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10298786335 + ... + 10298787305.

It is an arithmetic number, because the mean of its divisors is an integer number (45608572800).

Almost surely, 2^{10000122002220} is an apocalyptic number.

10000122002220 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 10000122002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513691955200).

10000122002220 is an abundant number, since it is smaller than the sum of its proper divisors (25027261908180).

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

10000122002220 is a wasteful number, since it uses less digits than its factorization.

10000122002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000122002220 its reverse (2220022100001), we get a palindrome (12220144102221).

The spelling of 10000122002220 in words is "ten trillion, one hundred twenty-two million, two thousand, two hundred twenty".