10122002012401 has 2 divisors, whose sum is σ = 10122002012402. Its totient is φ = 10122002012400.

The previous prime is 10122002012389. The next prime is 10122002012413. The reversal of 10122002012401 is 10421020022101.

10122002012401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10122002012389) and next prime (10122002012413).

It can be written as a sum of positive squares in only one way, i.e., 10090184015025 + 31817997376 = 3176505^2 + 178376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122002012401 - 2¹¹ = 10122002010353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122002012431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061001006200 + 5061001006201.

It is an arithmetic number, because the mean of its divisors is an integer number (5061001006201).

Almost surely, 2^{10122002012401} is an apocalyptic number.

It is an amenable number.

10122002012401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122002012401 is an equidigital number, since it uses as much as digits as its factorization.

10122002012401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122002012401 its reverse (10421020022101), we get a palindrome (20543022034502).

The spelling of 10122002012401 in words is "ten trillion, one hundred twenty-two billion, two million, twelve thousand, four hundred one".