220100031120 has 80 divisors (see below), whose sum is σ = 682359986880. Its totient is φ = 58689050112.

The previous prime is 220100031119. The next prime is 220100031121. The reversal of 220100031120 is 21130001022.

It is an interprime number because it is at equal distance from previous prime (220100031119) and next prime (220100031121).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 220100031096 and 220100031105.

It is not an unprimeable number, because it can be changed into a prime (220100031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4569402 + ... + 4617318.

It is an arithmetic number, because the mean of its divisors is an integer number (8529499836).

Almost surely, 2^220100031120 is an apocalyptic number.

220100031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100031120 is an abundant number, since it is smaller than the sum of its proper divisors (462259955760).

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

220100031120 is a wasteful number, since it uses less digits than its factorization.

220100031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67072 (or 67066 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 220100031120 its reverse (21130001022), we get a palindrome (241230032142).

The spelling of 220100031120 in words is "two hundred twenty billion, one hundred million, thirty-one thousand, one hundred twenty".