101100000100010 has 16 divisors (see below), whose sum is σ = 181980116505000. Its totient is φ = 40439974190016.

The previous prime is 101100000099983. The next prime is 101100000100013. The reversal of 101100000100010 is 10001000001101.

It can be written as a sum of positive squares in 4 ways, for example, as 88928351413489 + 12171648686521 = 9430183^2 + 3488789^2 .

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 = 101100000099967 and 101100000100003.

It is not an unprimeable number, because it can be changed into a prime (101100000100013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24656216 + ... + 28462764.

Almost surely, 2^{101100000100010} is an apocalyptic number.

101100000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100000100010 is a deficient number, since it is larger than the sum of its proper divisors (80880116404990).

101100000100010 is a wasteful number, since it uses less digits than its factorization.

101100000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462505.

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

Adding to 101100000100010 its reverse (10001000001101), we get a palindrome (111101000101111).

The spelling of 101100000100010 in words is "one hundred one trillion, one hundred billion, one hundred thousand, ten".