101102121 has 8 divisors (see below), whose sum is σ = 149780960. Its totient is φ = 67401396.

The previous prime is 101102107. The next prime is 101102137. The reversal of 101102121 is 121201101.

It is a happy number.

It is not a de Polignac number, because 101102121 - 2⁷ = 101101993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102101) 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 7 ways as a sum of consecutive naturals, for example, 1872235 + ... + 1872288.

It is an arithmetic number, because the mean of its divisors is an integer number (18722620).

Almost surely, 2^101102121 is an apocalyptic number.

It is an amenable number.

101102121 is a deficient number, since it is larger than the sum of its proper divisors (48678839).

101102121 is an equidigital number, since it uses as much as digits as its factorization.

101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744532 (or 3744526 counting only the distinct ones).

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

The square root of 101102121 is about 10054.9550471397. The cubic root of 101102121 is about 465.8578545006.

Adding to 101102121 its reverse (121201101), we get a palindrome (222303222).

The spelling of 101102121 in words is "one hundred one million, one hundred two thousand, one hundred twenty-one".