101222000000010 has 48 divisors (see below), whose sum is σ = 270290097306216. Its totient is φ = 26263005404544.

The previous prime is 101221999999999. The next prime is 101222000000027. The reversal of 101222000000010 is 10000000222101.

It can be written as a sum of positive squares in 4 ways, for example, as 87831516191409 + 13390483808601 = 9371847^2 + 3659301^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101221999999929 and 101222000000001.

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 23 ways as a sum of consecutive naturals, for example, 15198495169 + ... + 15198501828.

Almost surely, 2^{101222000000010} is an apocalyptic number.

101222000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101222000000010 is an abundant number, since it is smaller than the sum of its proper divisors (169068097306206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222000000010 is a wasteful number, since it uses less digits than its factorization.

101222000000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30396997047 (or 30396997044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101222000000010 its reverse (10000000222101), we get a palindrome (111222000222111).

The spelling of 101222000000010 in words is "one hundred one trillion, two hundred twenty-two billion, ten", and thus it is an aban number.