100201002210112 has 28 divisors (see below), whose sum is σ = 198840867832836. Its totient is φ = 50099366220800.

The previous prime is 100201002210103. The next prime is 100201002210119. The reversal of 100201002210112 is 211012200102001.

It can be written as a sum of positive squares in 2 ways, for example, as 64903905239616 + 35297096970496 = 8056296^2 + 5941136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201002210092 and 100201002210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201002210119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14881603 + ... + 20539330.

Almost surely, 2^{100201002210112} is an apocalyptic number.

It is an amenable number.

100201002210112 is a deficient number, since it is larger than the sum of its proper divisors (98639865622724).

100201002210112 is an equidigital number, since it uses as much as digits as its factorization.

100201002210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35465146 (or 35465136 counting only the distinct ones).

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

Adding to 100201002210112 its reverse (211012200102001), we get a palindrome (311213202312113).

The spelling of 100201002210112 in words is "one hundred trillion, two hundred one billion, two million, two hundred ten thousand, one hundred twelve".