102101111102021 has 16 divisors (see below), whose sum is σ = 102520117739520. Its totient is φ = 101682706972080.

The previous prime is 102101111101987. The next prime is 102101111102057. The reversal of 102101111102021 is 120201111101201.

It is a cyclic number.

It is not a de Polignac number, because 102101111102021 - 2⁴² = 97703064590917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101111101987 and 102101111102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101111152021) 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, 4946988620 + ... + 4947009258.

It is an arithmetic number, because the mean of its divisors is an integer number (6407507358720).

Almost surely, 2^{102101111102021} is an apocalyptic number.

It is an amenable number.

102101111102021 is a deficient number, since it is larger than the sum of its proper divisors (419006637499).

102101111102021 is a wasteful number, since it uses less digits than its factorization.

102101111102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34264.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101111102021 its reverse (120201111101201), we get a palindrome (222302222203222).

The spelling of 102101111102021 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, one hundred two thousand, twenty-one".