100023110541200 has 360 divisors, whose sum is σ = 302712636401280. Its totient is φ = 31089155328000.

The previous prime is 100023110541173. The next prime is 100023110541203. The reversal of 100023110541200 is 2145011320001.

It is a super-2 number, since 2×100023110541200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100023110541203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121218020 + ... + 122040380.

It is an arithmetic number, because the mean of its divisors is an integer number (840868434448).

Almost surely, 2^{100023110541200} is an apocalyptic number.

100023110541200 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 100023110541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151356318200640).

100023110541200 is an abundant number, since it is smaller than the sum of its proper divisors (202689525860080).

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

100023110541200 is a wasteful number, since it uses less digits than its factorization.

100023110541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822767 (or 822745 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 100023110541200 its reverse (2145011320001), we get a palindrome (102168121861201).

The spelling of 100023110541200 in words is "one hundred trillion, twenty-three billion, one hundred ten million, five hundred forty-one thousand, two hundred".