102200011110021 has 128 divisors (see below), whose sum is σ = 170229454848000. Its totient is φ = 53713451151360.

The previous prime is 102200011110013. The next prime is 102200011110037. The reversal of 102200011110021 is 120011110002201.

It is not a de Polignac number, because 102200011110021 - 2³ = 102200011110013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200011109979 and 102200011110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200011111021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005231436 + ... + 1005333098.

It is an arithmetic number, because the mean of its divisors is an integer number (1329917616000).

Almost surely, 2^{102200011110021} is an apocalyptic number.

102200011110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200011110021 is a deficient number, since it is larger than the sum of its proper divisors (68029443737979).

102200011110021 is a wasteful number, since it uses less digits than its factorization.

102200011110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104299.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102200011110021 its reverse (120011110002201), we get a palindrome (222211121112222).

The spelling of 102200011110021 in words is "one hundred two trillion, two hundred billion, eleven million, one hundred ten thousand, twenty-one".