1001211021000 has 192 divisors, whose sum is σ = 3466633388400. Its totient is φ = 260477568000.

The previous prime is 1001211020987. The next prime is 1001211021017. The reversal of 1001211021000 is 1201121001.

It is a happy number.

1001211021000 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 8 ways, for example, as 89457220836 + 911753800164 = 299094^2 + 954858^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987655 + ... + 1725654.

Almost surely, 2^{1001211021000} is an apocalyptic number.

1001211021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211021000 is an abundant number, since it is smaller than the sum of its proper divisors (2465422367400).

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

1001211021000 is a wasteful number, since it uses less digits than its factorization.

1001211021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713377 (or 2713360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001211021000 its reverse (1201121001), we get a palindrome (1002412142001).

The spelling of 1001211021000 in words is "one trillion, one billion, two hundred eleven million, twenty-one thousand".