121002200010 has 108 divisors (see below), whose sum is σ = 323664988374. Its totient is φ = 31363485120.

The previous prime is 121002199999. The next prime is 121002200021. The reversal of 121002200010 is 10002200121.

It is an interprime number because it is at equal distance from previous prime (121002199999) and next prime (121002200021).

It can be written as a sum of positive squares in 3 ways, for example, as 120993361281 + 8838729 = 347841^2 + 2973^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 121002199965 and 121002200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 122100615 + ... + 122101605.

Almost surely, 2^121002200010 is an apocalyptic number.

121002200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161832494187).

121002200010 is an abundant number, since it is smaller than the sum of its proper divisors (202662788364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121002200010 is an frugal number, since it uses more digits than its factorization.

121002200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121002200010 its reverse (10002200121), we get a palindrome (131004400131).

The spelling of 121002200010 in words is "one hundred twenty-one billion, two million, two hundred thousand, ten".