1102102120121 has 8 divisors (see below), whose sum is σ = 1114510833000. Its totient is φ = 1089693975040.

The previous prime is 1102102120103. The next prime is 1102102120123. The reversal of 1102102120121 is 1210212012011.

It can be written as a sum of positive squares in 4 ways, for example, as 545735310121 + 556366810000 = 738739^2 + 745900^2 .

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 1102102120121 - 2⁶ = 1102102120057 is a prime.

It is a super-2 number, since 2×1102102120121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102102120096 and 1102102120105.

It is not an unprimeable number, because it can be changed into a prime (1102102120123) 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, 4677581 + ... + 4907541.

It is an arithmetic number, because the mean of its divisors is an integer number (139313854125).

Almost surely, 2^{1102102120121} is an apocalyptic number.

It is an amenable number.

1102102120121 is a deficient number, since it is larger than the sum of its proper divisors (12408712879).

1102102120121 is an equidigital number, since it uses as much as digits as its factorization.

1102102120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283899.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102102120121 its reverse (1210212012011), we get a palindrome (2312314132132).

The spelling of 1102102120121 in words is "one trillion, one hundred two billion, one hundred two million, one hundred twenty thousand, one hundred twenty-one".