1020020022000 has 240 divisors, whose sum is σ = 4071531851712. Its totient is φ = 233147404800.

The previous prime is 1020020021963. The next prime is 1020020022001. The reversal of 1020020022000 is 2200200201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020022001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3921699 + ... + 4173698.

Almost surely, 2^{1020020022000} is an apocalyptic number.

1020020022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020020022000 is an abundant number, since it is smaller than the sum of its proper divisors (3051511829712).

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

1020020022000 is a wasteful number, since it uses less digits than its factorization.

1020020022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095433 (or 8095414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1020020022000 its reverse (2200200201), we get a palindrome (1022220222201).

The spelling of 1020020022000 in words is "one trillion, twenty billion, twenty million, twenty-two thousand".