1002000221010 has 48 divisors (see below), whose sum is σ = 2618292081600. Its totient is φ = 265857340320.

The previous prime is 1002000220981. The next prime is 1002000221017. The reversal of 1002000221010 is 101220002001.

1002000221010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1002000220983 and 1002000221001.

It is not an unprimeable number, because it can be changed into a prime (1002000221017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27955296 + ... + 27991115.

It is an arithmetic number, because the mean of its divisors is an integer number (54547751700).

Almost surely, 2^{1002000221010} is an apocalyptic number.

1002000221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002000221010 is an abundant number, since it is smaller than the sum of its proper divisors (1616291860590).

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

1002000221010 is a wasteful number, since it uses less digits than its factorization.

1002000221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55946623 (or 55946620 counting only the distinct ones).

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

Adding to 1002000221010 its reverse (101220002001), we get a palindrome (1103220223011).

The spelling of 1002000221010 in words is "one trillion, two billion, two hundred twenty-one thousand, ten".