1002121010100 has 432 divisors, whose sum is σ = 3875084478720. Its totient is φ = 211541299200.

The previous prime is 1002121010041. The next prime is 1002121010203. The reversal of 1002121010100 is 10101212001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4082860 + ... + 4321340.

It is an arithmetic number, because the mean of its divisors is an integer number (8970102960).

Almost surely, 2^{1002121010100} is an apocalyptic number.

1002121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937542239360).

1002121010100 is an abundant number, since it is smaller than the sum of its proper divisors (2872963468620).

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

1002121010100 is a wasteful number, since it uses less digits than its factorization.

1002121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238560 (or 238550 counting only the distinct ones).

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

Adding to 1002121010100 its reverse (10101212001), we get a palindrome (1012222222101).

The spelling of 1002121010100 in words is "one trillion, two billion, one hundred twenty-one million, ten thousand, one hundred".