100210000002112 has 224 divisors, whose sum is σ = 267273400391424. Its totient is φ = 36001721548800.

The previous prime is 100210000002107. The next prime is 100210000002149. The reversal of 100210000002112 is 211200000012001.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60232312 + ... + 61873672.

It is an arithmetic number, because the mean of its divisors is an integer number (1193184823176).

Almost surely, 2^{100210000002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210000002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133636700195712).

100210000002112 is an abundant number, since it is smaller than the sum of its proper divisors (167063400389312).

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

100210000002112 is a wasteful number, since it uses less digits than its factorization.

100210000002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642357 (or 1642347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210000002112 its reverse (211200000012001), we get a palindrome (311410000014113).

The spelling of 100210000002112 in words is "one hundred trillion, two hundred ten billion, two thousand, one hundred twelve".