2111200102129 has 2 divisors, whose sum is σ = 2111200102130. Its totient is φ = 2111200102128.

The previous prime is 2111200102127. The next prime is 2111200102133. The reversal of 2111200102129 is 9212010021112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2001523221504 + 109676880625 = 1414752^2 + 331175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111200102129 - 2¹ = 2111200102127 is a prime.

Together with 2111200102127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2111200102127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055600051064 + 1055600051065.

It is an arithmetic number, because the mean of its divisors is an integer number (1055600051065).

Almost surely, 2^{2111200102129} is an apocalyptic number.

It is an amenable number.

2111200102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111200102129 is an equidigital number, since it uses as much as digits as its factorization.

2111200102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 2111200102129 in words is "two trillion, one hundred eleven billion, two hundred million, one hundred two thousand, one hundred twenty-nine".