10000210211112 has 128 divisors (see below), whose sum is σ = 27306052300800. Its totient is φ = 3026730009600.

The previous prime is 10000210211111. The next prime is 10000210211113. The reversal of 10000210211112 is 21111201200001.

It is an interprime number because it is at equal distance from previous prime (10000210211111) and next prime (10000210211113).

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

It is not an unprimeable number, because it can be changed into a prime (10000210211111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 918203187 + ... + 918214077.

It is an arithmetic number, because the mean of its divisors is an integer number (213328533600).

Almost surely, 2^{10000210211112} is an apocalyptic number.

10000210211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000210211112 is an abundant number, since it is smaller than the sum of its proper divisors (17305842089688).

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

10000210211112 is a wasteful number, since it uses less digits than its factorization.

10000210211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14767 (or 14763 counting only the distinct ones).

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

Adding to 10000210211112 its reverse (21111201200001), we get a palindrome (31111411411113).

The spelling of 10000210211112 in words is "ten trillion, two hundred ten million, two hundred eleven thousand, one hundred twelve".