1021022212000 has 144 divisors (see below), whose sum is σ = 2918227902408. Its totient is φ = 350064691200.

The previous prime is 1021022211991. The next prime is 1021022212009. The reversal of 1021022212000 is 2122201201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021022211991) and next prime (1021022212009).

It can be written as a sum of positive squares in 4 ways, for example, as 72057886096 + 948964325904 = 268436^2 + 974148^2 .

It is not an unprimeable number, because it can be changed into a prime (1021022212009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2408649 + ... + 2800648.

Almost surely, 2^{1021022212000} is an apocalyptic number.

1021022212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021022212000 is an abundant number, since it is smaller than the sum of its proper divisors (1897205690408).

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

1021022212000 is an equidigital number, since it uses as much as digits as its factorization.

1021022212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209336 (or 5209311 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1021022212000 its reverse (2122201201), we get a palindrome (1023144413201).

The spelling of 1021022212000 in words is "one trillion, twenty-one billion, twenty-two million, two hundred twelve thousand".