1002121120010 has 32 divisors (see below), whose sum is σ = 1866673319760. Its totient is φ = 386890301952.

The previous prime is 1002121119949. The next prime is 1002121120031. The reversal of 1002121120010 is 100211212001.

It can be written as a sum of positive squares in 8 ways, for example, as 211496052769 + 790625067241 = 459887^2 + 889171^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002121119973 and 1002121120000.

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 15 ways as a sum of consecutive naturals, for example, 223772 + ... + 1433288.

Almost surely, 2^{1002121120010} is an apocalyptic number.

1002121120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002121120010 is a deficient number, since it is larger than the sum of its proper divisors (864552199750).

1002121120010 is a wasteful number, since it uses less digits than its factorization.

1002121120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212410.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002121120010 its reverse (100211212001), we get a palindrome (1102332332011).

The spelling of 1002121120010 in words is "one trillion, two billion, one hundred twenty-one million, one hundred twenty thousand, ten".