101011010112010 has 32 divisors (see below), whose sum is σ = 183621195834192. Its totient is φ = 40004103052800.

The previous prime is 101011010111987. The next prime is 101011010112037. The reversal of 101011010112010 is 10211010110101.

101011010112010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 79398952750881 + 21612057361129 = 8910609^2 + 4648877^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264988072 + ... + 265368988.

Almost surely, 2^{101011010112010} is an apocalyptic number.

101011010112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011010112010 is a deficient number, since it is larger than the sum of its proper divisors (82610185722182).

101011010112010 is a wasteful number, since it uses less digits than its factorization.

101011010112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643578.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101011010112010 its reverse (10211010110101), we get a palindrome (111222020222111).

The spelling of 101011010112010 in words is "one hundred one trillion, eleven billion, ten million, one hundred twelve thousand, ten".