101120022112001 has 2 divisors, whose sum is σ = 101120022112002. Its totient is φ = 101120022112000.

The previous prime is 101120022111989. The next prime is 101120022112013. The reversal of 101120022112001 is 100211220021101.

It is a balanced prime because it is at equal distance from previous prime (101120022111989) and next prime (101120022112013).

It can be written as a sum of positive squares in only one way, i.e., 75342834000625 + 25777188111376 = 8680025^2 + 5077124^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120022112001 - 2¹⁸ = 101120021849857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101120022112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560011056000 + 50560011056001.

It is an arithmetic number, because the mean of its divisors is an integer number (50560011056001).

Almost surely, 2^{101120022112001} is an apocalyptic number.

It is an amenable number.

101120022112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120022112001 is an equidigital number, since it uses as much as digits as its factorization.

101120022112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101120022112001 its reverse (100211220021101), we get a palindrome (201331242133102).

The spelling of 101120022112001 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, one hundred twelve thousand, one".