112001002100010 has 192 divisors, whose sum is σ = 303236099712000. Its totient is φ = 28646518247424.

The previous prime is 112001002099997. The next prime is 112001002100041. The reversal of 112001002100010 is 10001200100211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112001002099965 and 112001002100001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 911635066 + ... + 911757914.

It is an arithmetic number, because the mean of its divisors is an integer number (1579354686000).

Almost surely, 2^{112001002100010} is an apocalyptic number.

112001002100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001002100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151618049856000).

112001002100010 is an abundant number, since it is smaller than the sum of its proper divisors (191235097611990).

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

112001002100010 is a wasteful number, since it uses less digits than its factorization.

112001002100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125197 (or 125194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112001002100010 its reverse (10001200100211), we get a palindrome (122002202200221).

The spelling of 112001002100010 in words is "one hundred twelve trillion, one billion, two million, one hundred thousand, ten".