10101201121122 has 128 divisors (see below), whose sum is σ = 21206290710528. Its totient is φ = 3204401990400.

The previous prime is 10101201121093. The next prime is 10101201121127. The reversal of 10101201121122 is 22112110210101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10101201121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5468976403 + ... + 5468978249.

It is an arithmetic number, because the mean of its divisors is an integer number (165674146176).

Almost surely, 2^{10101201121122} is an apocalyptic number.

10101201121122 is an abundant number, since it is smaller than the sum of its proper divisors (11105089589406).

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

10101201121122 is a wasteful number, since it uses less digits than its factorization.

10101201121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10101201121122 its reverse (22112110210101), we get a palindrome (32213311331223).

The spelling of 10101201121122 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-two".