100020121010401 has 2 divisors, whose sum is σ = 100020121010402. Its totient is φ = 100020121010400.

The previous prime is 100020121010399. The next prime is 100020121010437. The reversal of 100020121010401 is 104010121020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98029820802001 + 1990300208400 = 9901001^2 + 1410780^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020121010401 - 2¹ = 100020121010399 is a prime.

Together with 100020121010399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100020121010501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010060505200 + 50010060505201.

It is an arithmetic number, because the mean of its divisors is an integer number (50010060505201).

Almost surely, 2^{100020121010401} is an apocalyptic number.

It is an amenable number.

100020121010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020121010401 is an equidigital number, since it uses as much as digits as its factorization.

100020121010401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100020121010401 its reverse (104010121020001), we get a palindrome (204030242030402).

The spelling of 100020121010401 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, ten thousand, four hundred one".