10021100210112 has 448 divisors, whose sum is σ = 28581949440000. Its totient is φ = 3089412513792.

The previous prime is 10021100210083. The next prime is 10021100210123. The reversal of 10021100210112 is 21101200112001.

It is a super-2 number, since 2×10021100210112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13937552089 + ... + 13937552807.

Almost surely, 2^{10021100210112} is an apocalyptic number.

10021100210112 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 10021100210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290974720000).

10021100210112 is an abundant number, since it is smaller than the sum of its proper divisors (18560849229888).

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

10021100210112 is a wasteful number, since it uses less digits than its factorization.

10021100210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

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

Adding to 10021100210112 its reverse (21101200112001), we get a palindrome (31122300322113).

The spelling of 10021100210112 in words is "ten trillion, twenty-one billion, one hundred million, two hundred ten thousand, one hundred twelve".