101122110002011 has 8 divisors (see below), whose sum is σ = 122366250758880. Its totient is φ = 81577500505728.

The previous prime is 101122110001999. The next prime is 101122110002051. The reversal of 101122110002011 is 110200011221101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122110002011 - 2¹³ = 101122109993819 is a prime.

It is a super-2 number, since 2×101122110002011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122110001982 and 101122110002000.

It is not an unprimeable number, because it can be changed into a prime (101122110002051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424882815016 + ... + 424882815253.

It is an arithmetic number, because the mean of its divisors is an integer number (15295781344860).

Almost surely, 2^{101122110002011} is an apocalyptic number.

101122110002011 is a deficient number, since it is larger than the sum of its proper divisors (21244140756869).

101122110002011 is an equidigital number, since it uses as much as digits as its factorization.

101122110002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849765630293.

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

Adding to 101122110002011 its reverse (110200011221101), we get a palindrome (211322121223112).

The spelling of 101122110002011 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred ten million, two thousand, eleven".