2101021200000 has 768 divisors, whose sum is σ = 7793894908800. Its totient is φ = 557153280000.

The previous prime is 2101021199993. The next prime is 2101021200011. The reversal of 2101021200000 is 21201012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2451599572 + ... + 2451600428.

Almost surely, 2^{2101021200000} is an apocalyptic number.

2101021200000 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 2101021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896947454400).

2101021200000 is an abundant number, since it is smaller than the sum of its proper divisors (5692873708800).

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

2101021200000 is an frugal number, since it uses more digits than its factorization.

2101021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1094 counting only the distinct ones).

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

Adding to 2101021200000 its reverse (21201012), we get a palindrome (2101042401012).

The spelling of 2101021200000 in words is "two trillion, one hundred one billion, twenty-one million, two hundred thousand".