101201121122 has 16 divisors (see below), whose sum is σ = 152399667672. Its totient is φ = 50401612800.

The previous prime is 101201121103. The next prime is 101201121137. The reversal of 101201121122 is 221121102101.

It can be written as a sum of positive squares in 4 ways, for example, as 15445269841 + 85755851281 = 124279^2 + 292841^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101201121097 and 101201121106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439622 + ... + 629022.

Almost surely, 2^101201121122 is an apocalyptic number.

101201121122 is a deficient number, since it is larger than the sum of its proper divisors (51198546550).

101201121122 is a wasteful number, since it uses less digits than its factorization.

101201121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190453.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201121122 its reverse (221121102101), we get a palindrome (322322223223).

The spelling of 101201121122 in words is "one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-two".