10201122121122 has 24 divisors (see below), whose sum is σ = 22103146119600. Its totient is φ = 3400264062360.

The previous prime is 10201122121067. The next prime is 10201122121129. The reversal of 10201122121122 is 22112122110201.

10201122121122 is a `hidden beast` number, since 10 + 201 + 1 + 221 + 211 + 22 = 666.

It is a super-2 number, since 2×10201122121122² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10201122121095 and 10201122121104.

It is not an unprimeable number, because it can be changed into a prime (10201122121129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8591872 + ... + 9706827.

It is an arithmetic number, because the mean of its divisors is an integer number (920964421650).

Almost surely, 2^{10201122121122} is an apocalyptic number.

10201122121122 is an abundant number, since it is smaller than the sum of its proper divisors (11902023998478).

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

10201122121122 is a wasteful number, since it uses less digits than its factorization.

10201122121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18329678 (or 18329675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10201122121122 its reverse (22112122110201), we get a palindrome (32313244231323).

The spelling of 10201122121122 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".