10101101100010 has 32 divisors (see below), whose sum is σ = 18517223868480. Its totient is φ = 3966142781568.

The previous prime is 10101101099983. The next prime is 10101101100043. The reversal of 10101101100010 is 1000110110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10101101099966 and 10101101100002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12130347 + ... + 12936286.

It is an arithmetic number, because the mean of its divisors is an integer number (578663245890).

Almost surely, 2^{10101101100010} is an apocalyptic number.

10101101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101101100010 is a deficient number, since it is larger than the sum of its proper divisors (8416122768470).

10101101100010 is a wasteful number, since it uses less digits than its factorization.

10101101100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25067382.

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

Adding to 10101101100010 its reverse (1000110110101), we get a palindrome (11101211210111).

The spelling of 10101101100010 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred thousand, ten".