102111100022011 has 8 divisors (see below), whose sum is σ = 104546355923520. Its totient is φ = 99686789091648.

The previous prime is 102111100021993. The next prime is 102111100022077. The reversal of 102111100022011 is 110220001111201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102111100022011 - 2¹⁵ = 102111099989243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102111100021982 and 102111100022000.

It is not an unprimeable number, because it can be changed into a prime (102111100022411) 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 7 ways as a sum of consecutive naturals, for example, 2736223906 + ... + 2736261223.

It is an arithmetic number, because the mean of its divisors is an integer number (13068294490440).

Almost surely, 2^{102111100022011} is an apocalyptic number.

102111100022011 is a deficient number, since it is larger than the sum of its proper divisors (2435255901509).

102111100022011 is an equidigital number, since it uses as much as digits as its factorization.

102111100022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472485573.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111100022011 its reverse (110220001111201), we get a palindrome (212331101133212).

The spelling of 102111100022011 in words is "one hundred two trillion, one hundred eleven billion, one hundred million, twenty-two thousand, eleven".