112202210101100 has 288 divisors, whose sum is σ = 284516029808640. Its totient is φ = 37616187248640.

The previous prime is 112202210101081. The next prime is 112202210101127. The reversal of 112202210101100 is 1101012202211.

It is a super-3 number, since 3×112202210101100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2476464647 + ... + 2476509953.

It is an arithmetic number, because the mean of its divisors is an integer number (987902881280).

Almost surely, 2^{112202210101100} is an apocalyptic number.

112202210101100 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 112202210101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142258014904320).

112202210101100 is an abundant number, since it is smaller than the sum of its proper divisors (172313819707540).

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

112202210101100 is a wasteful number, since it uses less digits than its factorization.

112202210101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45857 (or 45850 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112202210101100 its reverse (1101012202211), we get a palindrome (113303222303311).

The spelling of 112202210101100 in words is "one hundred twelve trillion, two hundred two billion, two hundred ten million, one hundred one thousand, one hundred".