102202121101011 has 16 divisors (see below), whose sum is σ = 139444081113216. Its totient is φ = 66547579887936.

The previous prime is 102202121101009. The next prime is 102202121101033. The reversal of 102202121101011 is 110101121202201.

It is a happy number.

It is not a de Polignac number, because 102202121101011 - 2¹ = 102202121101009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202121101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12436410 + ... + 18949103.

It is an arithmetic number, because the mean of its divisors is an integer number (8715255069576).

Almost surely, 2^{102202121101011} is an apocalyptic number.

102202121101011 is a deficient number, since it is larger than the sum of its proper divisors (37241960012205).

102202121101011 is a wasteful number, since it uses less digits than its factorization.

102202121101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31410802.

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

Adding to 102202121101011 its reverse (110101121202201), we get a palindrome (212303242303212).

The spelling of 102202121101011 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand, eleven".