10211010200112 has 80 divisors (see below), whose sum is σ = 26756851951872. Its totient is φ = 3354867774720.

The previous prime is 10211010200099. The next prime is 10211010200147. The reversal of 10211010200112 is 21100201011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12931618 + ... + 13698494.

Almost surely, 2^{10211010200112} is an apocalyptic number.

10211010200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211010200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378425975936).

10211010200112 is an abundant number, since it is smaller than the sum of its proper divisors (16545841751760).

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

10211010200112 is a wasteful number, since it uses less digits than its factorization.

10211010200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770866 (or 770860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211010200112 its reverse (21100201011201), we get a palindrome (31311211211313).

The spelling of 10211010200112 in words is "ten trillion, two hundred eleven billion, ten million, two hundred thousand, one hundred twelve".