2100002120 has 64 divisors (see below), whose sum is σ = 4956405120. Its totient is φ = 799248384.

The previous prime is 2100002117. The next prime is 2100002123. The reversal of 2100002120 is 212000012.

It is an interprime number because it is at equal distance from previous prime (2100002117) and next prime (2100002123).

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

It is a junction number, because it is equal to n+sod(n) for n = 2100002098 and 2100002107.

It is not an unprimeable number, because it can be changed into a prime (2100002123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171647 + ... + 183473.

It is an arithmetic number, because the mean of its divisors is an integer number (77443830).

Almost surely, 2^2100002120 is an apocalyptic number.

2100002120 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 2100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478202560).

2100002120 is an abundant number, since it is smaller than the sum of its proper divisors (2856403000).

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

2100002120 is a wasteful number, since it uses less digits than its factorization.

2100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12054 (or 12050 counting only the distinct ones).

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

The square root of 2100002120 is about 45825.7800806489. The cubic root of 2100002120 is about 1280.5795959124.

Adding to 2100002120 its reverse (212000012), we get a palindrome (2312002132).

The spelling of 2100002120 in words is "two billion, one hundred million, two thousand, one hundred twenty".