2120010210100 has 144 divisors (see below), whose sum is σ = 4772070567936. Its totient is φ = 816929920000.

The previous prime is 2120010210089. The next prime is 2120010210107. The reversal of 2120010210100 is 10120100212.

It is a super-2 number, since 2×2120010210100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120010210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158593617 + ... + 158606983.

It is an arithmetic number, because the mean of its divisors is an integer number (33139378944).

Almost surely, 2^{2120010210100} is an apocalyptic number.

2120010210100 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 2120010210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386035283968).

2120010210100 is an abundant number, since it is smaller than the sum of its proper divisors (2652060357836).

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

2120010210100 is a wasteful number, since it uses less digits than its factorization.

2120010210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906 (or 13899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2120010210100 its reverse (10120100212), we get a palindrome (2130130310312).

The spelling of 2120010210100 in words is "two trillion, one hundred twenty billion, ten million, two hundred ten thousand, one hundred".