102021201011101 has 16 divisors (see below), whose sum is σ = 108049985607168. Its totient is φ = 96125285559600.

The previous prime is 102021201011063. The next prime is 102021201011113. The reversal of 102021201011101 is 101110102120201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102021201011101 - 2⁷ = 102021201010973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021201011141) 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, 39064666 + ... + 41594356.

It is an arithmetic number, because the mean of its divisors is an integer number (6753124100448).

Almost surely, 2^{102021201011101} is an apocalyptic number.

It is an amenable number.

102021201011101 is a deficient number, since it is larger than the sum of its proper divisors (6028784596067).

102021201011101 is a wasteful number, since it uses less digits than its factorization.

102021201011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555952.

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

Adding to 102021201011101 its reverse (101110102120201), we get a palindrome (203131303131302).

The spelling of 102021201011101 in words is "one hundred two trillion, twenty-one billion, two hundred one million, eleven thousand, one hundred one".