102021112100011 has 16 divisors (see below), whose sum is σ = 113661107632800. Its totient is φ = 90923069680128.

The previous prime is 102021112099979. The next prime is 102021112100053. The reversal of 102021112100011 is 110001211120201.

It is a happy number.

It is not a de Polignac number, because 102021112100011 - 2⁵ = 102021112099979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102021112099964 and 102021112100000.

It is not an unprimeable number, because it can be changed into a prime (102021112100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7517875 + ... + 16141891.

It is an arithmetic number, because the mean of its divisors is an integer number (7103819227050).

Almost surely, 2^{102021112100011} is an apocalyptic number.

102021112100011 is a deficient number, since it is larger than the sum of its proper divisors (11639995532789).

102021112100011 is a wasteful number, since it uses less digits than its factorization.

102021112100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655438.

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

Adding to 102021112100011 its reverse (110001211120201), we get a palindrome (212022323220212).

The spelling of 102021112100011 in words is "one hundred two trillion, twenty-one billion, one hundred twelve million, one hundred thousand, eleven".