210101011102112 has 24 divisors (see below), whose sum is σ = 445454547577956. Its totient is φ = 96969697431552.

The previous prime is 210101011102097. The next prime is 210101011102123. The reversal of 210101011102112 is 211201110101012.

It can be written as a sum of positive squares in 2 ways, for example, as 174060631785616 + 36040379316496 = 13193204^2 + 6003364^2 .

It is a super-2 number, since 2×210101011102112² (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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252525253313 + ... + 252525254144.

Almost surely, 2^{210101011102112} is an apocalyptic number.

It is an amenable number.

210101011102112 is an abundant number, since it is smaller than the sum of its proper divisors (235353536475844).

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

210101011102112 is a wasteful number, since it uses less digits than its factorization.

210101011102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505050507480 (or 505050507472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 210101011102112 its reverse (211201110101012), we get a palindrome (421302121203124).

The spelling of 210101011102112 in words is "two hundred ten trillion, one hundred one billion, eleven million, one hundred two thousand, one hundred twelve".