100111101000010 has 64 divisors (see below), whose sum is σ = 191569374374400. Its totient is φ = 37560328819200.

The previous prime is 100111100999993. The next prime is 100111101000013. The reversal of 100111101000010 is 10000101111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100111100999957 and 100111101000002.

It is not an unprimeable number, because it can be changed into a prime (100111101000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25528255 + ... + 29187565.

It is an arithmetic number, because the mean of its divisors is an integer number (2993271474600).

Almost surely, 2^{100111101000010} is an apocalyptic number.

100111101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111101000010 is a deficient number, since it is larger than the sum of its proper divisors (91458273374390).

100111101000010 is a wasteful number, since it uses less digits than its factorization.

100111101000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660767.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111101000010 its reverse (10000101111001), we get a palindrome (110111202111011).

The spelling of 100111101000010 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, ten", and thus it is an aban number.