112101022210100 has 288 divisors, whose sum is σ = 304449146007552. Its totient is φ = 34806441600000.

The previous prime is 112101022209989. The next prime is 112101022210141. The reversal of 112101022210100 is 1012220101211.

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

It is a congruent number.

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, 13308914489 + ... + 13308922911.

It is an arithmetic number, because the mean of its divisors is an integer number (1057115090304).

Almost surely, 2^{112101022210100} is an apocalyptic number.

112101022210100 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 112101022210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152224573003776).

112101022210100 is an abundant number, since it is smaller than the sum of its proper divisors (192348123797452).

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

112101022210100 is a wasteful number, since it uses less digits than its factorization.

112101022210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14887 (or 14880 counting only the distinct ones).

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

Adding to 112101022210100 its reverse (1012220101211), we get a palindrome (113113242311311).

The spelling of 112101022210100 in words is "one hundred twelve trillion, one hundred one billion, twenty-two million, two hundred ten thousand, one hundred".