101000001100010 has 16 divisors (see below), whose sum is σ = 181804365685800. Its totient is φ = 40399030727616.

The previous prime is 101000001099971. The next prime is 101000001100069. The reversal of 101000001100010 is 10001100000101.

It can be written as a sum of positive squares in 4 ways, for example, as 79463728263049 + 21536272836961 = 8914243^2 + 4640719^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101000001099967 and 101000001100003.

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, 120776525 + ... + 121609904.

Almost surely, 2^{101000001100010} is an apocalyptic number.

101000001100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000001100010 is a deficient number, since it is larger than the sum of its proper divisors (80804364585790).

101000001100010 is a wasteful number, since it uses less digits than its factorization.

101000001100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242428105.

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

Adding to 101000001100010 its reverse (10001100000101), we get a palindrome (111001101100111).

The spelling of 101000001100010 in words is "one hundred one trillion, one million, one hundred thousand, ten".