101112001100210 has 64 divisors (see below), whose sum is σ = 183539802670560. Its totient is φ = 40104749045760.

The previous prime is 101112001100161. The next prime is 101112001100213. The reversal of 101112001100210 is 12001100211101.

It can be written as a sum of positive squares in 16 ways, for example, as 249489261121 + 100862511839089 = 499489^2 + 10043033^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101112001100191 and 101112001100200.

It is not an unprimeable number, because it can be changed into a prime (101112001100213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 620279396 + ... + 620442384.

Almost surely, 2^{101112001100210} is an apocalyptic number.

101112001100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112001100210 is a deficient number, since it is larger than the sum of its proper divisors (82427801570350).

101112001100210 is a wasteful number, since it uses less digits than its factorization.

101112001100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164351.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112001100210 its reverse (12001100211101), we get a palindrome (113113101311311).

The spelling of 101112001100210 in words is "one hundred one trillion, one hundred twelve billion, one million, one hundred thousand, two hundred ten".