100220112211020 has 48 divisors (see below), whose sum is σ = 280673362448640. Its totient is φ = 26719930088896.

The previous prime is 100220112210929. The next prime is 100220112211111. The reversal of 100220112211020 is 20112211022001.

It is an interprime number because it is at equal distance from previous prime (100220112210929) and next prime (100220112211111).

It is a super-2 number, since 2×100220112211020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169488882 + ... + 170079161.

It is an arithmetic number, because the mean of its divisors is an integer number (5847361717680).

Almost surely, 2^{100220112211020} is an apocalyptic number.

100220112211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220112211020 is an abundant number, since it is smaller than the sum of its proper divisors (180453250237620).

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

100220112211020 is a wasteful number, since it uses less digits than its factorization.

100220112211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339572974 (or 339572972 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100220112211020 its reverse (20112211022001), we get a palindrome (120332323233021).

The spelling of 100220112211020 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, two hundred eleven thousand, twenty".