101210001122011 has 16 divisors (see below), whose sum is σ = 103300221337600. Its totient is φ = 99140039395488.

The previous prime is 101210001121967. The next prime is 101210001122057. The reversal of 101210001122011 is 110221100012101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101210001122011 - 2¹⁹ = 101210000597723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101210001121982 and 101210001122000.

It is not an unprimeable number, because it can be changed into a prime (101210001122911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927125050 + ... + 927234208.

It is an arithmetic number, because the mean of its divisors is an integer number (6456263833600).

Almost surely, 2^{101210001122011} is an apocalyptic number.

101210001122011 is a deficient number, since it is larger than the sum of its proper divisors (2090220215589).

101210001122011 is a wasteful number, since it uses less digits than its factorization.

101210001122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201778.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101210001122011 its reverse (110221100012101), we get a palindrome (211431101134112).

The spelling of 101210001122011 in words is "one hundred one trillion, two hundred ten billion, one million, one hundred twenty-two thousand, eleven".