102111100201 has 16 divisors (see below), whose sum is σ = 111980232000. Its totient is φ = 92340964800.

The previous prime is 102111100193. The next prime is 102111100213. The reversal of 102111100201 is 102001111201.

It is a cyclic number.

It is not a de Polignac number, because 102111100201 - 2³ = 102111100193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111100241) 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, 1584630 + ... + 1647808.

It is an arithmetic number, because the mean of its divisors is an integer number (6998764500).

Almost surely, 2^102111100201 is an apocalyptic number.

102111100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102111100201 is a deficient number, since it is larger than the sum of its proper divisors (9869131799).

102111100201 is a wasteful number, since it uses less digits than its factorization.

102111100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63960.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102111100201 its reverse (102001111201), we get a palindrome (204112211402).

The spelling of 102111100201 in words is "one hundred two billion, one hundred eleven million, one hundred thousand, two hundred one".