100112200001000 has 256 divisors, whose sum is σ = 259581776613120. Its totient is φ = 35835580800000.

The previous prime is 100112200000963. The next prime is 100112200001017. The reversal of 100112200001000 is 100002211001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191942567 + ... + 192463433.

It is an arithmetic number, because the mean of its divisors is an integer number (1013991314895).

Almost surely, 2^{100112200001000} is an apocalyptic number.

100112200001000 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 100112200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129790888306560).

100112200001000 is an abundant number, since it is smaller than the sum of its proper divisors (159469576612120).

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

100112200001000 is a wasteful number, since it uses less digits than its factorization.

100112200001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521173 (or 521159 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100112200001000 its reverse (100002211001), we get a palindrome (100212202212001).

The spelling of 100112200001000 in words is "one hundred trillion, one hundred twelve billion, two hundred million, one thousand".