102200012111021 has 32 divisors (see below), whose sum is σ = 113438850969600. Its totient is φ = 91301767876800.

The previous prime is 102200012111011. The next prime is 102200012111137. The reversal of 102200012111021 is 120111210002201.

It is a cyclic number.

It is not a de Polignac number, because 102200012111021 - 2⁴² = 97801965599917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200012110987 and 102200012111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200012111011) 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 31 ways as a sum of consecutive naturals, for example, 110226956 + ... + 111150266.

It is an arithmetic number, because the mean of its divisors is an integer number (3544964092800).

Almost surely, 2^{102200012111021} is an apocalyptic number.

102200012111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200012111021 is a deficient number, since it is larger than the sum of its proper divisors (11238838858579).

102200012111021 is a wasteful number, since it uses less digits than its factorization.

102200012111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924185.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102200012111021 its reverse (120111210002201), we get a palindrome (222311222113222).

The spelling of 102200012111021 in words is "one hundred two trillion, two hundred billion, twelve million, one hundred eleven thousand, twenty-one".