101120211222121 has 32 divisors (see below), whose sum is σ = 124978111478528. Its totient is φ = 79671360706560.

The previous prime is 101120211222119. The next prime is 101120211222137. The reversal of 101120211222121 is 121222112021101.

It is a happy number.

It is not a de Polignac number, because 101120211222121 - 2¹ = 101120211222119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120211222521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504685666 + ... + 504885988.

It is an arithmetic number, because the mean of its divisors is an integer number (3905565983704).

Almost surely, 2^{101120211222121} is an apocalyptic number.

It is an amenable number.

101120211222121 is a deficient number, since it is larger than the sum of its proper divisors (23857900256407).

101120211222121 is a wasteful number, since it uses less digits than its factorization.

101120211222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223601.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101120211222121 its reverse (121222112021101), we get a palindrome (222342323243222).

The spelling of 101120211222121 in words is "one hundred one trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-one".