2010000102120 has 48 divisors (see below), whose sum is σ = 6532500333060. Its totient is φ = 536000027136.

The previous prime is 2010000102113. The next prime is 2010000102127. The reversal of 2010000102120 is 212010000102.

It is an interprime number because it is at equal distance from previous prime (2010000102113) and next prime (2010000102127).

It can be written as a sum of positive squares in 2 ways, for example, as 1755397107396 + 254602994724 = 1324914^2 + 504582^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2010000102127) 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, 2791666449 + ... + 2791667168.

Almost surely, 2^{2010000102120} is an apocalyptic number.

2010000102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010000102120 is an abundant number, since it is smaller than the sum of its proper divisors (4522500230940).

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

2010000102120 is a wasteful number, since it uses less digits than its factorization.

2010000102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583333634 (or 5583333627 counting only the distinct ones).

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

Adding to 2010000102120 its reverse (212010000102), we get a palindrome (2222010102222).

The spelling of 2010000102120 in words is "two trillion, ten billion, one hundred two thousand, one hundred twenty".