201102102102111 has 64 divisors (see below), whose sum is σ = 324166355251200. Its totient is φ = 108329658287616.

The previous prime is 201102102102089. The next prime is 201102102102137. The reversal of 201102102102111 is 111201201201102.

It is a happy number.

It is not a de Polignac number, because 201102102102111 - 2⁷ = 201102102101983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102102102511) 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, 71254080 + ... + 74022618.

It is an arithmetic number, because the mean of its divisors is an integer number (5065099300800).

Almost surely, 2^{201102102102111} is an apocalyptic number.

201102102102111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201102102102111 is a deficient number, since it is larger than the sum of its proper divisors (123064253149089).

201102102102111 is a wasteful number, since it uses less digits than its factorization.

201102102102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769468.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201102102102111 its reverse (111201201201102), we get a palindrome (312303303303213).

The spelling of 201102102102111 in words is "two hundred one trillion, one hundred two billion, one hundred two million, one hundred two thousand, one hundred eleven".