102001101020111 has 16 divisors (see below), whose sum is σ = 104108660268096. Its totient is φ = 99907629120000.

The previous prime is 102001101020107. The next prime is 102001101020153. The reversal of 102001101020111 is 111020101100201.

It is a cyclic number.

It is not a de Polignac number, because 102001101020111 - 2² = 102001101020107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001101020092 and 102001101020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001101050111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311365181 + ... + 311692601.

It is an arithmetic number, because the mean of its divisors is an integer number (6506791266756).

Almost surely, 2^{102001101020111} is an apocalyptic number.

102001101020111 is a deficient number, since it is larger than the sum of its proper divisors (2107559247985).

102001101020111 is a wasteful number, since it uses less digits than its factorization.

102001101020111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348914.

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

Adding to 102001101020111 its reverse (111020101100201), we get a palindrome (213021202120312).

The spelling of 102001101020111 in words is "one hundred two trillion, one billion, one hundred one million, twenty thousand, one hundred eleven".