100111110010002 has 384 divisors, whose sum is σ = 276914254256640. Its totient is φ = 25434223534080.

The previous prime is 100111110009979. The next prime is 100111110010003. The reversal of 100111110010002 is 200010011111001.

100111110010002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (100111110010003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2526826149 + ... + 2526865767.

It is an arithmetic number, because the mean of its divisors is an integer number (721130870460).

Almost surely, 2^{100111110010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111110010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138457127128320).

100111110010002 is an abundant number, since it is smaller than the sum of its proper divisors (176803144246638).

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

100111110010002 is a wasteful number, since it uses less digits than its factorization.

100111110010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40098 (or 40095 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111110010002 its reverse (200010011111001), we get a palindrome (300121121121003).

The spelling of 100111110010002 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, ten thousand, two".