2101221232000 has 128 divisors (see below), whose sum is σ = 5699085518880. Its totient is φ = 764080384000.

The previous prime is 2101221231961. The next prime is 2101221232001. The reversal of 2101221232000 is 2321221012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×2101221232000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101221232001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5793379 + ... + 6145378.

Almost surely, 2^{2101221232000} is an apocalyptic number.

2101221232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101221232000 is an abundant number, since it is smaller than the sum of its proper divisors (3597864286880).

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

2101221232000 is a wasteful number, since it uses less digits than its factorization.

2101221232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938797 (or 11938775 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2101221232000 its reverse (2321221012), we get a palindrome (2103542453012).

The spelling of 2101221232000 in words is "two trillion, one hundred one billion, two hundred twenty-one million, two hundred thirty-two thousand".