1021001212000 has 192 divisors, whose sum is σ = 3127606110720. Its totient is φ = 318234048000.

The previous prime is 1021001211961. The next prime is 1021001212001. The reversal of 1021001212000 is 2121001201.

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 (1021001212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349470 + ... + 1965469.

It is an arithmetic number, because the mean of its divisors is an integer number (16289615160).

Almost surely, 2^{1021001212000} is an apocalyptic number.

1021001212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021001212000 is an abundant number, since it is smaller than the sum of its proper divisors (2106604898720).

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

1021001212000 is a wasteful number, since it uses less digits than its factorization.

1021001212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314982 (or 3314964 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021001212000 its reverse (2121001201), we get a palindrome (1023122213201).

The spelling of 1021001212000 in words is "one trillion, twenty-one billion, one million, two hundred twelve thousand".