100111302000 has 200 divisors, whose sum is σ = 361610023632. Its totient is φ = 26696304000.

The previous prime is 100111301999. The next prime is 100111302001. The reversal of 100111302000 is 203111001.

It is an interprime number because it is at equal distance from previous prime (100111301999) and next prime (100111302001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×100111302000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111302001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146986 + ... + 470985.

Almost surely, 2^100111302000 is an apocalyptic number.

100111302000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111302000 is an abundant number, since it is smaller than the sum of its proper divisors (261498721632).

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

100111302000 is an equidigital number, since it uses as much as digits as its factorization.

100111302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618006 (or 617981 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100111302000 its reverse (203111001), we get a palindrome (100314413001).

The spelling of 100111302000 in words is "one hundred billion, one hundred eleven million, three hundred two thousand".