2100121000001 has 2 divisors, whose sum is σ = 2100121000002. Its totient is φ = 2100121000000.

The previous prime is 2100120999989. The next prime is 2100121000007. The reversal of 2100121000001 is 1000001210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1298344023601 + 801776976400 = 1139449^2 + 895420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100121000001 - 2⁶ = 2100120999937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100121000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060500000 + 1050060500001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060500001).

Almost surely, 2^{2100121000001} is an apocalyptic number.

It is an amenable number.

2100121000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100121000001 is an equidigital number, since it uses as much as digits as its factorization.

2100121000001 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 8.

Adding to 2100121000001 its reverse (1000001210012), we get a palindrome (3100122210013).

It can be divided in two parts, 210012 and 1000001, that multiplied together give a palindrome (210012210012).

The spelling of 2100121000001 in words is "two trillion, one hundred billion, one hundred twenty-one million, one", and thus it is an aban number.