2010102001120 has 48 divisors (see below), whose sum is σ = 4749465354480. Its totient is φ = 803939318784.

The previous prime is 2010102001109. The next prime is 2010102001129. The reversal of 2010102001120 is 211002010102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010102001097 and 2010102001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010102001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485236 + ... + 2062924.

It is an arithmetic number, because the mean of its divisors is an integer number (98947194885).

Almost surely, 2^{2010102001120} is an apocalyptic number.

2010102001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010102001120 is an abundant number, since it is smaller than the sum of its proper divisors (2739363353360).

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

2010102001120 is a wasteful number, since it uses less digits than its factorization.

2010102001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585667 (or 1585659 counting only the distinct ones).

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

Adding to 2010102001120 its reverse (211002010102), we get a palindrome (2221104011222).

The spelling of 2010102001120 in words is "two trillion, ten billion, one hundred two million, one thousand, one hundred twenty".