102201011101001 has 4 divisors (see below), whose sum is σ = 102202870742400. Its totient is φ = 102199151459604.

The previous prime is 102201011100913. The next prime is 102201011101093. The reversal of 102201011101001 is 100101110102201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102201011101001 - 2¹⁰ = 102201011099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201011103001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 929738261 + ... + 929848178.

It is an arithmetic number, because the mean of its divisors is an integer number (25550717685600).

Almost surely, 2^{102201011101001} is an apocalyptic number.

It is an amenable number.

102201011101001 is a deficient number, since it is larger than the sum of its proper divisors (1859641399).

102201011101001 is an equidigital number, since it uses as much as digits as its factorization.

102201011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859641398.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102201011101001 its reverse (100101110102201), we get a palindrome (202302121203202).

The spelling of 102201011101001 in words is "one hundred two trillion, two hundred one billion, eleven million, one hundred one thousand, one".