102200120022011 has 24 divisors (see below), whose sum is σ = 119467125309840. Its totient is φ = 87111827066880.

The previous prime is 102200120021971. The next prime is 102200120022061. The reversal of 102200120022011 is 110220021002201.

It is not a de Polignac number, because 102200120022011 - 2⁶ = 102200120021947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102200120022061) 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 23 ways as a sum of consecutive naturals, for example, 228922166 + ... + 229368171.

It is an arithmetic number, because the mean of its divisors is an integer number (4977796887910).

Almost surely, 2^{102200120022011} is an apocalyptic number.

102200120022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102200120022011 is a deficient number, since it is larger than the sum of its proper divisors (17267005287829).

102200120022011 is a wasteful number, since it uses less digits than its factorization.

102200120022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458290475 (or 458290464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102200120022011 its reverse (110220021002201), we get a palindrome (212420141024212).

It can be divided in two parts, 1022001 and 20022011, that added together give a palindrome (21044012).

The spelling of 102200120022011 in words is "one hundred two trillion, two hundred billion, one hundred twenty million, twenty-two thousand, eleven".