100112120201210 has 32 divisors (see below), whose sum is σ = 205478994227472. Its totient is φ = 34790094259200.

The previous prime is 100112120201201. The next prime is 100112120201237. The reversal of 100112120201210 is 12102021211001.

It can be written as a sum of positive squares in 8 ways, for example, as 73388400290209 + 26723719911001 = 8566703^2 + 5169499^2 .

It is a super-2 number, since 2×100112120201210² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22649798741 + ... + 22649803160.

Almost surely, 2^{100112120201210} is an apocalyptic number.

100112120201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112120201210 is an abundant number, since it is smaller than the sum of its proper divisors (105366874026262).

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

100112120201210 is a wasteful number, since it uses less digits than its factorization.

100112120201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45299601938.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112120201210 its reverse (12102021211001), we get a palindrome (112214141412211).

The spelling of 100112120201210 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, two hundred one thousand, two hundred ten".