1001213033100 has 288 divisors, whose sum is σ = 3525029383680. Its totient is φ = 214182359040.

The previous prime is 1001213033077. The next prime is 1001213033141. The reversal of 1001213033100 is 13303121001.

It is a super-2 number, since 2×1001213033100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001213033100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6311962 + ... + 6468638.

It is an arithmetic number, because the mean of its divisors is an integer number (12239685360).

Almost surely, 2^{1001213033100} is an apocalyptic number.

1001213033100 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 1001213033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762514691840).

1001213033100 is an abundant number, since it is smaller than the sum of its proper divisors (2523816350580).

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

1001213033100 is a wasteful number, since it uses less digits than its factorization.

1001213033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156897 (or 156890 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1001213033100 its reverse (13303121001), we get a palindrome (1014516154101).

The spelling of 1001213033100 in words is "one trillion, one billion, two hundred thirteen million, thirty-three thousand, one hundred".