2120100200000 has 84 divisors (see below), whose sum is σ = 5258506223124. Its totient is φ = 848040000000.

The previous prime is 2120100199967. The next prime is 2120100200003. The reversal of 2120100200000 is 20010212.

It can be written as a sum of positive squares in 6 ways, for example, as 1027774219264 + 1092325980736 = 1013792^2 + 1045144^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2120100200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100251 + ... + 5500250.

It is an arithmetic number, because the mean of its divisors is an integer number (62601264561).

Almost surely, 2^{2120100200000} is an apocalyptic number.

2120100200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120100200000 is an abundant number, since it is smaller than the sum of its proper divisors (3138406023124).

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

2120100200000 is an frugal number, since it uses more digits than its factorization.

2120100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600538 (or 10600508 counting only the distinct ones).

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

Adding to 2120100200000 its reverse (20010212), we get a palindrome (2120120210212).

The spelling of 2120100200000 in words is "two trillion, one hundred twenty billion, one hundred million, two hundred thousand".