10220010012120 has 256 divisors, whose sum is σ = 31523080780800. Its totient is φ = 2649676677120.

The previous prime is 10220010012109. The next prime is 10220010012133. The reversal of 10220010012120 is 2121001002201.

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 = 10220010012096 and 10220010012105.

It is a congruent number.

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, 1181909637 + ... + 1181918283.

It is an arithmetic number, because the mean of its divisors is an integer number (123137034300).

Almost surely, 2^{10220010012120} is an apocalyptic number.

10220010012120 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 10220010012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761540390400).

10220010012120 is an abundant number, since it is smaller than the sum of its proper divisors (21303070768680).

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

10220010012120 is a wasteful number, since it uses less digits than its factorization.

10220010012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220010012120 its reverse (2121001002201), we get a palindrome (12341011014321).

The spelling of 10220010012120 in words is "ten trillion, two hundred twenty billion, ten million, twelve thousand, one hundred twenty".