102111201121 has 8 divisors (see below), whose sum is σ = 103521171944. Its totient is φ = 100701532800.

The previous prime is 102111201119. The next prime is 102111201139. The reversal of 102111201121 is 121102111201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23956848400 + 78154352721 = 154780^2 + 279561^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102111201121 - 2¹ = 102111201119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652135 + ... + 793411.

It is an arithmetic number, because the mean of its divisors is an integer number (12940146493).

Almost surely, 2^102111201121 is an apocalyptic number.

It is an amenable number.

102111201121 is a deficient number, since it is larger than the sum of its proper divisors (1409970823).

102111201121 is an equidigital number, since it uses as much as digits as its factorization.

102111201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151251.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111201121 its reverse (121102111201), we get a palindrome (223213312322).

It can be divided in two parts, 102111201 and 121, that multiplied together give a palindrome (12355455321).

The spelling of 102111201121 in words is "one hundred two billion, one hundred eleven million, two hundred one thousand, one hundred twenty-one".