2101121100983 has 2 divisors, whose sum is σ = 2101121100984. Its totient is φ = 2101121100982.

The previous prime is 2101121100973. The next prime is 2101121101039. The reversal of 2101121100983 is 3890011211012.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2101121100983 - 2¹⁴ = 2101121084599 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101121100973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560550491 + 1050560550492.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560550492).

Almost surely, 2^{2101121100983} is an apocalyptic number.

2101121100983 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101121100983 is an equidigital number, since it uses as much as digits as its factorization.

2101121100983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

Adding to 2101121100983 its reverse (3890011211012), we get a palindrome (5991132311995).

The spelling of 2101121100983 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred thousand, nine hundred eighty-three".