1001210120000 has 140 divisors (see below), whose sum is σ = 2485562740320. Its totient is φ = 400018368000.

The previous prime is 1001210119999. The next prime is 1001210120003. The reversal of 1001210120000 is 210121001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001210120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001210120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35465891 + ... + 35494109.

Almost surely, 2^{1001210120000} is an apocalyptic number.

1001210120000 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 1001210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242781370160).

1001210120000 is an abundant number, since it is smaller than the sum of its proper divisors (1484352620320).

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

1001210120000 is an frugal number, since it uses more digits than its factorization.

1001210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29138 (or 29113 counting only the distinct ones).

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

Adding to 1001210120000 its reverse (210121001), we get a palindrome (1001420241001).

The spelling of 1001210120000 in words is "one trillion, one billion, two hundred ten million, one hundred twenty thousand".