1020020212000 has 48 divisors (see below), whose sum is σ = 2506189670712. Its totient is φ = 408008083200.

The previous prime is 1020020211961. The next prime is 1020020212009. The reversal of 1020020212000 is 2120200201.

1020020212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 277438172176 + 742582039824 = 526724^2 + 861732^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020020212009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127498527 + ... + 127506526.

Almost surely, 2^{1020020212000} is an apocalyptic number.

1020020212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020020212000 is an abundant number, since it is smaller than the sum of its proper divisors (1486169458712).

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

1020020212000 is an equidigital number, since it uses as much as digits as its factorization.

1020020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255005078 (or 255005060 counting only the distinct ones).

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

Adding to 1020020212000 its reverse (2120200201), we get a palindrome (1022140412201).

The spelling of 1020020212000 in words is "one trillion, twenty billion, twenty million, two hundred twelve thousand".