2101221012000 has 768 divisors, whose sum is σ = 8029188550656. Its totient is φ = 474716160000.

The previous prime is 2101221011999. The next prime is 2101221012013. The reversal of 2101221012000 is 2101221012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 231127455 + ... + 231136545.

It is an arithmetic number, because the mean of its divisors is an integer number (10454672592).

Almost surely, 2^{2101221012000} is an apocalyptic number.

2101221012000 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 2101221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014594275328).

2101221012000 is an abundant number, since it is smaller than the sum of its proper divisors (5927967538656).

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

2101221012000 is a wasteful number, since it uses less digits than its factorization.

2101221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250 (or 9232 counting only the distinct ones).

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

Adding to 2101221012000 its reverse (2101221012), we get a palindrome (2103322233012).

2101221012000 divided by its reverse (2101221012) gives a cube (1000 = 10³).

It can be divided in two parts, 21012 and 21012000, that added together give a palindrome (21033012).

The spelling of 2101221012000 in words is "two trillion, one hundred one billion, two hundred twenty-one million, twelve thousand".