102101121 has 16 divisors (see below), whose sum is σ = 151518720. Its totient is φ = 67951440.

The previous prime is 102101113. The next prime is 102101143. The reversal of 102101121 is 121101201.

It is a happy number.

It is not a de Polignac number, because 102101121 - 2³ = 102101113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14736 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (9469920).

Almost surely, 2^102101121 is an apocalyptic number.

It is an amenable number.

102101121 is a deficient number, since it is larger than the sum of its proper divisors (49417599).

102101121 is an equidigital number, since it uses as much as digits as its factorization.

102101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 102101121 is about 10104.5099336880. The cubic root of 102101121 is about 467.3872239814.

Adding to 102101121 its reverse (121101201), we get a palindrome (223202322).

The spelling of 102101121 in words is "one hundred two million, one hundred one thousand, one hundred twenty-one".