102100121102211 has 64 divisors (see below), whose sum is σ = 140276332707840. Its totient is φ = 66027101063040.

The previous prime is 102100121102207. The next prime is 102100121102227. The reversal of 102100121102211 is 112201121001201.

It is a happy number.

It is not a de Polignac number, because 102100121102211 - 2² = 102100121102207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100121102261) 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 in 63 ways as a sum of consecutive naturals, for example, 30395985550 + ... + 30395988908.

It is an arithmetic number, because the mean of its divisors is an integer number (2191817698560).

Almost surely, 2^{102100121102211} is an apocalyptic number.

102100121102211 is a deficient number, since it is larger than the sum of its proper divisors (38176211605629).

102100121102211 is a wasteful number, since it uses less digits than its factorization.

102100121102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100121102211 its reverse (112201121001201), we get a palindrome (214301242103412).

The spelling of 102100121102211 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, one hundred two thousand, two hundred eleven".