100011011200100 has 864 divisors, whose sum is σ = 304703780209920. Its totient is φ = 27991498752000.

The previous prime is 100011011200091. The next prime is 100011011200109. The reversal of 100011011200100 is 1002110110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100011011200091) and next prime (100011011200109).

It is a super-2 number, since 2×100011011200100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100011011200109) 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, 10313598452 + ... + 10313608148.

It is an arithmetic number, because the mean of its divisors is an integer number (352666412280).

Almost surely, 2^{100011011200100} is an apocalyptic number.

100011011200100 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 100011011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152351890104960).

100011011200100 is an abundant number, since it is smaller than the sum of its proper divisors (204692769009820).

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

100011011200100 is a wasteful number, since it uses less digits than its factorization.

100011011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10149 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100011011200100 its reverse (1002110110001), we get a palindrome (101013121310101).

The spelling of 100011011200100 in words is "one hundred trillion, eleven billion, eleven million, two hundred thousand, one hundred".