102100221022011 has 8 divisors (see below), whose sum is σ = 136211020661760. Its totient is φ = 68028117698472.

The previous prime is 102100221021941. The next prime is 102100221022043. The reversal of 102100221022011 is 110220122001201.

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

It is not a de Polignac number, because 102100221022011 - 2¹⁵ = 102100220989243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100221022091) 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, 9674072895 + ... + 9674083448.

It is an arithmetic number, because the mean of its divisors is an integer number (17026377582720).

Almost surely, 2^{102100221022011} is an apocalyptic number.

102100221022011 is a deficient number, since it is larger than the sum of its proper divisors (34110799639749).

102100221022011 is a wasteful number, since it uses less digits than its factorization.

102100221022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19348158105.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102100221022011 its reverse (110220122001201), we get a palindrome (212320343023212).

The spelling of 102100221022011 in words is "one hundred two trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, eleven".