1000101221000 has 384 divisors, whose sum is σ = 2827307808000. Its totient is φ = 330972499200.

The previous prime is 1000101220969. The next prime is 1000101221039. The reversal of 1000101221000 is 1221010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288461267 + ... + 288464733.

It is an arithmetic number, because the mean of its divisors is an integer number (7362780750).

Almost surely, 2^{1000101221000} is an apocalyptic number.

1000101221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413653904000).

1000101221000 is an abundant number, since it is smaller than the sum of its proper divisors (1827206587000).

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

1000101221000 is an equidigital number, since it uses as much as digits as its factorization.

1000101221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000101221000 its reverse (1221010001), we get a palindrome (1001322231001).

The spelling of 1000101221000 in words is "one trillion, one hundred one million, two hundred twenty-one thousand".