100121001211001 has 2 divisors, whose sum is σ = 100121001211002. Its totient is φ = 100121001211000.

The previous prime is 100121001210983. The next prime is 100121001211003. The reversal of 100121001211001 is 100112100121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65645255934976 + 34475745276025 = 8102176^2 + 5871605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121001211001 is a prime.

Together with 100121001211003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100121001211003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500605500 + 50060500605501.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500605501).

Almost surely, 2^{100121001211001} is an apocalyptic number.

It is an amenable number.

100121001211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121001211001 is an equidigital number, since it uses as much as digits as its factorization.

100121001211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121001211001 its reverse (100112100121001), we get a palindrome (200233101332002).

The spelling of 100121001211001 in words is "one hundred trillion, one hundred twenty-one billion, one million, two hundred eleven thousand, one".