1002212011020 has 192 divisors, whose sum is σ = 3226108354560. Its totient is φ = 229909881600.

The previous prime is 1002212011013. The next prime is 1002212011063. The reversal of 1002212011020 is 201102122001.

1002212011020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002212010987 and 1002212011005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11027565 + ... + 11118075.

It is an arithmetic number, because the mean of its divisors is an integer number (16802647680).

Almost surely, 2^{1002212011020} is an apocalyptic number.

1002212011020 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 1002212011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613054177280).

1002212011020 is an abundant number, since it is smaller than the sum of its proper divisors (2223896343540).

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

1002212011020 is a wasteful number, since it uses less digits than its factorization.

1002212011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91436 (or 91434 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002212011020 its reverse (201102122001), we get a palindrome (1203314133021).

The spelling of 1002212011020 in words is "one trillion, two billion, two hundred twelve million, eleven thousand, twenty".