102001121111101 has 64 divisors (see below), whose sum is σ = 111832173573120. Its totient is φ = 92705394862080.

The previous prime is 102001121111093. The next prime is 102001121111129. The reversal of 102001121111101 is 101111121100201.

It is a cyclic number.

It is not a de Polignac number, because 102001121111101 - 2³ = 102001121111093 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 (102001121111401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49015434381 + ... + 49015436461.

It is an arithmetic number, because the mean of its divisors is an integer number (1747377712080).

Almost surely, 2^{102001121111101} is an apocalyptic number.

It is an amenable number.

102001121111101 is a deficient number, since it is larger than the sum of its proper divisors (9831052462019).

102001121111101 is a wasteful number, since it uses less digits than its factorization.

102001121111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102001121111101 its reverse (101111121100201), we get a palindrome (203112242211302).

The spelling of 102001121111101 in words is "one hundred two trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".