101211201122 has 32 divisors (see below), whose sum is σ = 166454734320. Its totient is φ = 45940930560.

The previous prime is 101211201101. The next prime is 101211201187. The reversal of 101211201122 is 221102112101.

It can be written as a sum of positive squares in 8 ways, for example, as 63912390481 + 37298810641 = 252809^2 + 193129^2 .

It is a super-3 number, since 3×101211201122³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211201097 and 101211201106.

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 15 ways as a sum of consecutive naturals, for example, 956438 + ... + 1056974.

Almost surely, 2^101211201122 is an apocalyptic number.

101211201122 is a deficient number, since it is larger than the sum of its proper divisors (65243533198).

101211201122 is a wasteful number, since it uses less digits than its factorization.

101211201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101606.

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

Adding to 101211201122 its reverse (221102112101), we get a palindrome (322313313223).

The spelling of 101211201122 in words is "one hundred one billion, two hundred eleven million, two hundred one thousand, one hundred twenty-two".