2101201021200 has 120 divisors (see below), whose sum is σ = 6735361284288. Its totient is φ = 559944496640.

The previous prime is 2101201021187. The next prime is 2101201021301. The reversal of 2101201021200 is 21201021012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 1205197 + ... + 2378003.

Almost surely, 2^{2101201021200} is an apocalyptic number.

2101201021200 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 2101201021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367680642144).

2101201021200 is an abundant number, since it is smaller than the sum of its proper divisors (4634160263088).

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

2101201021200 is a wasteful number, since it uses less digits than its factorization.

2101201021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174321 (or 1174310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101201021200 its reverse (21201021012), we get a palindrome (2122402042212).

The spelling of 2101201021200 in words is "two trillion, one hundred one billion, two hundred one million, twenty-one thousand, two hundred".