1002101220000 has 300 divisors, whose sum is σ = 3682766907666. Its totient is φ = 267226560000.

The previous prime is 1002101219993. The next prime is 1002101220073. The reversal of 1002101220000 is 221012001.

It can be written as a sum of positive squares in 5 ways, for example, as 105466459536 + 896634760464 = 324756^2 + 946908^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 1310710 + ... + 1929290.

Almost surely, 2^{1002101220000} is an apocalyptic number.

1002101220000 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 1002101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841383453833).

1002101220000 is an abundant number, since it is smaller than the sum of its proper divisors (2680665687666).

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

1002101220000 is an frugal number, since it uses more digits than its factorization.

1002101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618623 (or 618591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002101220000 its reverse (221012001), we get a palindrome (1002322232001).

The spelling of 1002101220000 in words is "one trillion, two billion, one hundred one million, two hundred twenty thousand".