2001210120000 has 2520 divisors, whose sum is σ = 9181904050176. Its totient is φ = 407586816000.

The previous prime is 2001210119903. The next prime is 2001210120029. The reversal of 2001210120000 is 210121002.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15757559937 + ... + 15757560063.

Almost surely, 2^{2001210120000} is an apocalyptic number.

2001210120000 is a gapful number since it is divisible by the number (20) 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 2001210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590952025088).

2001210120000 is an abundant number, since it is smaller than the sum of its proper divisors (7180693930176).

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

2001210120000 is a wasteful number, since it uses less digits than its factorization.

2001210120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 194 counting only the distinct ones).

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

Adding to 2001210120000 its reverse (210121002), we get a palindrome (2001420241002).

The spelling of 2001210120000 in words is "two trillion, one billion, two hundred ten million, one hundred twenty thousand".