10001100220120 has 32 divisors (see below), whose sum is σ = 22507886419200. Its totient is φ = 3999478146048.

The previous prime is 10001100220103. The next prime is 10001100220147. The reversal of 10001100220120 is 2102200110001.

It is a super-2 number, since 2×10001100220120² (a number of 27 digits) contains 22 as substring.

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 = 10001100220097 and 10001100220106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29892249 + ... + 30224968.

It is an arithmetic number, because the mean of its divisors is an integer number (703371450600).

Almost surely, 2^{10001100220120} is an apocalyptic number.

10001100220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100220120 is an abundant number, since it is smaller than the sum of its proper divisors (12506786199080).

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

10001100220120 is a wasteful number, since it uses less digits than its factorization.

10001100220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60121387 (or 60121383 counting only the distinct ones).

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

Adding to 10001100220120 its reverse (2102200110001), we get a palindrome (12103300330121).

The spelling of 10001100220120 in words is "ten trillion, one billion, one hundred million, two hundred twenty thousand, one hundred twenty".