1002111221000 has 64 divisors (see below), whose sum is σ = 2345122568880. Its totient is φ = 400813324800.

The previous prime is 1002111220949. The next prime is 1002111221039. The reversal of 1002111221000 is 1221112001.

It can be written as a sum of positive squares in 8 ways, for example, as 73281738436 + 928829482564 = 270706^2 + 963758^2 .

It is a super-2 number, since 2×1002111221000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16222172 + ... + 16283828.

Almost surely, 2^{1002111221000} is an apocalyptic number.

1002111221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002111221000 is an abundant number, since it is smaller than the sum of its proper divisors (1343011347880).

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

1002111221000 is a wasteful number, since it uses less digits than its factorization.

1002111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77931 (or 77917 counting only the distinct ones).

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

Adding to 1002111221000 its reverse (1221112001), we get a palindrome (1003332333001).

The spelling of 1002111221000 in words is "one trillion, two billion, one hundred eleven million, two hundred twenty-one thousand".