100101100000010 has 16 divisors (see below), whose sum is σ = 180187013520072. Its totient is φ = 40039321440000.

The previous prime is 100101100000009. The next prime is 100101100000061. The reversal of 100101100000010 is 10000001101001.

It can be written as a sum of positive squares in 4 ways, for example, as 47259671437489 + 52841428562521 = 6874567^2 + 7269211^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139444091 + ... + 140160110.

Almost surely, 2^{100101100000010} is an apocalyptic number.

100101100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101100000010 is a deficient number, since it is larger than the sum of its proper divisors (80085913520062).

100101100000010 is a wasteful number, since it uses less digits than its factorization.

100101100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279640009.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100101100000010 its reverse (10000001101001), we get a palindrome (110101101101011).

The spelling of 100101100000010 in words is "one hundred trillion, one hundred one billion, one hundred million, ten", and thus it is an aban number.