102122012101011 has 24 divisors (see below), whose sum is σ = 162076890596544. Its totient is φ = 56998332331920.

The previous prime is 102122012100967. The next prime is 102122012101013. The reversal of 102122012101011 is 110101210221201.

It is a happy number.

It is not a de Polignac number, because 102122012101011 - 2²⁵ = 102121978546579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122012101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8077988625 + ... + 8078001266.

It is an arithmetic number, because the mean of its divisors is an integer number (6753203774856).

Almost surely, 2^{102122012101011} is an apocalyptic number.

102122012101011 is a deficient number, since it is larger than the sum of its proper divisors (59954878495533).

102122012101011 is a wasteful number, since it uses less digits than its factorization.

102122012101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155989951 (or 16155989944 counting only the distinct ones).

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

Adding to 102122012101011 its reverse (110101210221201), we get a palindrome (212223222322212).

The spelling of 102122012101011 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, eleven".