1002201012020 has 96 divisors (see below), whose sum is σ = 2304938135808. Its totient is φ = 363792540672.

The previous prime is 1002201012017. The next prime is 1002201012049. The reversal of 1002201012020 is 202101022001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002201011992 and 1002201012010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8705072 + ... + 8819448.

It is an arithmetic number, because the mean of its divisors is an integer number (24009772248).

Almost surely, 2^{1002201012020} is an apocalyptic number.

1002201012020 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 1002201012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152469067904).

1002201012020 is an abundant number, since it is smaller than the sum of its proper divisors (1302737123788).

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

1002201012020 is a wasteful number, since it uses less digits than its factorization.

1002201012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114969 (or 114967 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002201012020 its reverse (202101022001), we get a palindrome (1204302034021).

The spelling of 1002201012020 in words is "one trillion, two billion, two hundred one million, twelve thousand, twenty".