102101120111 has 6 divisors (see below), whose sum is σ = 102500012880. Its totient is φ = 101703773696.

The previous prime is 102101120087. The next prime is 102101120119. The reversal of 102101120111 is 111021101201.

It is not a de Polignac number, because 102101120111 - 2¹⁸ = 102100857967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101120092 and 102101120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101120119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 706871 + ... + 838968.

It is an arithmetic number, because the mean of its divisors is an integer number (17083335480).

Almost surely, 2^102101120111 is an apocalyptic number.

102101120111 is a deficient number, since it is larger than the sum of its proper divisors (398892769).

102101120111 is an frugal number, since it uses more digits than its factorization.

102101120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546353 (or 1546096 counting only the distinct ones).

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

Adding to 102101120111 its reverse (111021101201), we get a palindrome (213122221312).

The spelling of 102101120111 in words is "one hundred two billion, one hundred one million, one hundred twenty thousand, one hundred eleven".