113222220212100 has 288 divisors, whose sum is σ = 331197731988480. Its totient is φ = 29862262218240.

The previous prime is 113222220212089. The next prime is 113222220212113. The reversal of 113222220212100 is 1212022222311.

It is a super-2 number, since 2×113222220212100² (a number of 29 digits) contains 22 as substring.

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, 8731559817 + ... + 8731572783.

It is an arithmetic number, because the mean of its divisors is an integer number (1149992124960).

Almost surely, 2^{113222220212100} is an apocalyptic number.

113222220212100 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 113222220212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165598865994240).

113222220212100 is an abundant number, since it is smaller than the sum of its proper divisors (217975511776380).

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

113222220212100 is a wasteful number, since it uses less digits than its factorization.

113222220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14027 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 113222220212100 its reverse (1212022222311), we get a palindrome (114434242434411).

The spelling of 113222220212100 in words is "one hundred thirteen trillion, two hundred twenty-two billion, two hundred twenty million, two hundred twelve thousand, one hundred".