2120010212100 has 288 divisors, whose sum is σ = 6877521810432. Its totient is φ = 499677120000.

The previous prime is 2120010212087. The next prime is 2120010212101. The reversal of 2120010212100 is 12120100212.

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

It is not an unprimeable number, because it can be changed into a prime (2120010212101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184487355 + ... + 184498845.

It is an arithmetic number, because the mean of its divisors is an integer number (23880284064).

Almost surely, 2^{2120010212100} is an apocalyptic number.

2120010212100 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 2120010212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438760905216).

2120010212100 is an abundant number, since it is smaller than the sum of its proper divisors (4757511598332).

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

2120010212100 is a wasteful number, since it uses less digits than its factorization.

2120010212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13067 (or 13060 counting only the distinct ones).

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

Adding to 2120010212100 its reverse (12120100212), we get a palindrome (2132130312312).

The spelling of 2120010212100 in words is "two trillion, one hundred twenty billion, ten million, two hundred twelve thousand, one hundred".