100210112001220 has 48 divisors (see below), whose sum is σ = 239960141508528. Its totient is φ = 34824147517440.

The previous prime is 100210112001199. The next prime is 100210112001221. The reversal of 100210112001220 is 22100211012001.

It can be written as a sum of positive squares in 8 ways, for example, as 8405812921284 + 91804299079936 = 2899278^2 + 9581456^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100210112001220.

It is not an unprimeable number, because it can be changed into a prime (100210112001221) 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, 11335981101 + ... + 11335989940.

It is an arithmetic number, because the mean of its divisors is an integer number (4999169614761).

Almost surely, 2^{100210112001220} is an apocalyptic number.

100210112001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210112001220 is an abundant number, since it is smaller than the sum of its proper divisors (139750029507308).

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

100210112001220 is a wasteful number, since it uses less digits than its factorization.

100210112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22671971080 (or 22671971078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210112001220 its reverse (22100211012001), we get a palindrome (122310323013221).

The spelling of 100210112001220 in words is "one hundred trillion, two hundred ten billion, one hundred twelve million, one thousand, two hundred twenty".