112010122101000 has 128 divisors (see below), whose sum is σ = 349529775903360. Its totient is φ = 29864391968000.

The previous prime is 112010122100953. The next prime is 112010122101013. The reversal of 112010122101000 is 101221010211.

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

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, 14927302 + ... + 21138698.

It is an arithmetic number, because the mean of its divisors is an integer number (2730701374245).

Almost surely, 2^{112010122101000} is an apocalyptic number.

112010122101000 is a gapful number since it is divisible by the number (10) 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 112010122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174764887951680).

112010122101000 is an abundant number, since it is smaller than the sum of its proper divisors (237519653802360).

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

112010122101000 is a wasteful number, since it uses less digits than its factorization.

112010122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217432 (or 6217418 counting only the distinct ones).

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

Adding to 112010122101000 its reverse (101221010211), we get a palindrome (112111343111211).

The spelling of 112010122101000 in words is "one hundred twelve trillion, ten billion, one hundred twenty-two million, one hundred one thousand".