102201210122011 has 64 divisors (see below), whose sum is σ = 137458172952576. Its totient is φ = 73384510838400.

The previous prime is 102201210122003. The next prime is 102201210122021. The reversal of 102201210122011 is 110221012102201.

It is a cyclic number.

It is not a de Polignac number, because 102201210122011 - 2³ = 102201210122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102201210122021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1564423230 + ... + 1564488556.

It is an arithmetic number, because the mean of its divisors is an integer number (2147783952384).

Almost surely, 2^{102201210122011} is an apocalyptic number.

102201210122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102201210122011 is a deficient number, since it is larger than the sum of its proper divisors (35256962830565).

102201210122011 is a wasteful number, since it uses less digits than its factorization.

102201210122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68032.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102201210122011 its reverse (110221012102201), we get a palindrome (212422222224212).

The spelling of 102201210122011 in words is "one hundred two trillion, two hundred one billion, two hundred ten million, one hundred twenty-two thousand, eleven".