10220120110100 has 36 divisors (see below), whose sum is σ = 22177815750300. Its totient is φ = 4088019452160.

The previous prime is 10220120110091. The next prime is 10220120110153. The reversal of 10220120110100 is 101102102201.

It can be written as a sum of positive squares in 6 ways, for example, as 4911486724 + 10215208623376 = 70082^2 + 3196124^2 .

It is a super-2 number, since 2×10220120110100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19502306 + ... + 20019494.

Almost surely, 2^{10220120110100} is an apocalyptic number.

10220120110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220120110100 is an abundant number, since it is smaller than the sum of its proper divisors (11957695640200).

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

10220120110100 is a wasteful number, since it uses less digits than its factorization.

10220120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714812 (or 714805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10220120110100 its reverse (101102102201), we get a palindrome (10321222212301).

The spelling of 10220120110100 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, one hundred ten thousand, one hundred".