101112231122100 has 864 divisors, whose sum is σ = 383069517981696. Its totient is φ = 22023058636800.

The previous prime is 101112231122057. The next prime is 101112231122101. The reversal of 101112231122100 is 1221132211101.

It is a happy number.

101112231122100 is a `hidden beast` number, since 1 + 0 + 11 + 122 + 311 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112231122101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 329883117 + ... + 330189483.

It is an arithmetic number, because the mean of its divisors is an integer number (443367497664).

Almost surely, 2^{101112231122100} is an apocalyptic number.

101112231122100 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 101112231122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191534758990848).

101112231122100 is an abundant number, since it is smaller than the sum of its proper divisors (281957286859596).

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

101112231122100 is a wasteful number, since it uses less digits than its factorization.

101112231122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306505 (or 306495 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101112231122100 its reverse (1221132211101), we get a palindrome (102333363333201).

The spelling of 101112231122100 in words is "one hundred one trillion, one hundred twelve billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred".