100001111010100 has 18 divisors (see below), whose sum is σ = 217002410892134. Its totient is φ = 40000444404000.

The previous prime is 100001111010061. The next prime is 100001111010139. The reversal of 100001111010100 is 1010111100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100001111010061) and next prime (100001111010139).

It can be written as a sum of positive squares in 3 ways, for example, as 31084349211556 + 68916761798544 = 5575334^2 + 8301612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500005554951 + ... + 500005555150.

Almost surely, 2^{100001111010100} is an apocalyptic number.

100001111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001111010100 is an abundant number, since it is smaller than the sum of its proper divisors (117001299882034).

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

100001111010100 is a wasteful number, since it uses less digits than its factorization.

100001111010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000011110115 (or 1000011110108 counting only the distinct ones).

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

Adding to 100001111010100 its reverse (1010111100001), we get a palindrome (101011222110101).

The spelling of 100001111010100 in words is "one hundred trillion, one billion, one hundred eleven million, ten thousand, one hundred".