1021220002000 has 160 divisors (see below), whose sum is σ = 2710959773184. Its totient is φ = 368986176000.

The previous prime is 1021220001961. The next prime is 1021220002001. The reversal of 1021220002000 is 2000221201.

1021220002000 is digitally balanced in base 2, because in such base 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021220002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3306169 + ... + 3601831.

Almost surely, 2^{1021220002000} is an apocalyptic number.

1021220002000 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 1021220002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355479886592).

1021220002000 is an abundant number, since it is smaller than the sum of its proper divisors (1689739771184).

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

1021220002000 is a wasteful number, since it uses less digits than its factorization.

1021220002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295854 (or 295838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1021220002000 its reverse (2000221201), we get a palindrome (1023220223201).

The spelling of 1021220002000 in words is "one trillion, twenty-one billion, two hundred twenty million, two thousand".