10000102112 has 288 divisors, whose sum is σ = 26993518272. Its totient is φ = 3548160000.

The previous prime is 10000102111. The next prime is 10000102121. The reversal of 10000102112 is 21120100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10000102112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000102111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35587412 + ... + 35587692.

It is an arithmetic number, because the mean of its divisors is an integer number (93727494).

Almost surely, 2^10000102112 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 10000102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496759136).

10000102112 is an abundant number, since it is smaller than the sum of its proper divisors (16993416160).

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

10000102112 is a wasteful number, since it uses less digits than its factorization.

10000102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000102112 its reverse (21120100001), we get a palindrome (31120202113).

The spelling of 10000102112 in words is "ten billion, one hundred two thousand, one hundred twelve".