122123021031001 has 2 divisors, whose sum is σ = 122123021031002. Its totient is φ = 122123021031000.

The previous prime is 122123021030987. The next prime is 122123021031017. The reversal of 122123021031001 is 100130120321221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76098126283776 + 46024894747225 = 8723424^2 + 6784165^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123021031001 - 2³⁹ = 121573265217113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122123021031001.

It is not a weakly prime, because it can be changed into another prime (122123021001001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061510515500 + 61061510515501.

It is an arithmetic number, because the mean of its divisors is an integer number (61061510515501).

Almost surely, 2^{122123021031001} is an apocalyptic number.

It is an amenable number.

122123021031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123021031001 is an equidigital number, since it uses as much as digits as its factorization.

122123021031001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122123021031001 its reverse (100130120321221), we get a palindrome (222253141352222).

The spelling of 122123021031001 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, twenty-one million, thirty-one thousand, one".