1002121100010 has 96 divisors (see below), whose sum is σ = 2789133048000. Its totient is φ = 248876437248.

The previous prime is 1002121099979. The next prime is 1002121100033. The reversal of 1002121100010 is 100011212001.

It is a happy number.

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 = 1002121099965 and 1002121100001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4865515 + ... + 5067294.

It is an arithmetic number, because the mean of its divisors is an integer number (29053469250).

Almost surely, 2^{1002121100010} is an apocalyptic number.

1002121100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002121100010 is an abundant number, since it is smaller than the sum of its proper divisors (1787011947990).

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

1002121100010 is a wasteful number, since it uses less digits than its factorization.

1002121100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932900 (or 9932897 counting only the distinct ones).

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

Adding to 1002121100010 its reverse (100011212001), we get a palindrome (1102132312011).

The spelling of 1002121100010 in words is "one trillion, two billion, one hundred twenty-one million, one hundred thousand, ten".