102011212011121 has 16 divisors (see below), whose sum is σ = 117549662371840. Its totient is φ = 86716024621200.

The previous prime is 102011212011047. The next prime is 102011212011167. The reversal of 102011212011121 is 121110212110201.

It is a cyclic number.

It is not a de Polignac number, because 102011212011121 - 2¹⁵ = 102011211978353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011212011095 and 102011212011104.

It is not an unprimeable number, because it can be changed into a prime (102011212012121) 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 15 ways as a sum of consecutive naturals, for example, 78856041 + ... + 80139238.

It is an arithmetic number, because the mean of its divisors is an integer number (7346853898240).

Almost surely, 2^{102011212011121} is an apocalyptic number.

It is an amenable number.

102011212011121 is a deficient number, since it is larger than the sum of its proper divisors (15538450360719).

102011212011121 is a wasteful number, since it uses less digits than its factorization.

102011212011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158996044.

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

Adding to 102011212011121 its reverse (121110212110201), we get a palindrome (223121424121322).

The spelling of 102011212011121 in words is "one hundred two trillion, eleven billion, two hundred twelve million, eleven thousand, one hundred twenty-one".