2102010102120 has 64 divisors (see below), whose sum is σ = 6306196213440. Its totient is φ = 560521280000.

The previous prime is 2102010102091. The next prime is 2102010102121. The reversal of 2102010102120 is 212010102012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102010102096 and 2102010102105.

It is not an unprimeable number, because it can be changed into a prime (2102010102121) 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, 4806595 + ... + 5225645.

It is an arithmetic number, because the mean of its divisors is an integer number (98534315835).

Almost surely, 2^{2102010102120} is an apocalyptic number.

2102010102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102010102120 is an abundant number, since it is smaller than the sum of its proper divisors (4204186111320).

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

2102010102120 is a wasteful number, since it uses less digits than its factorization.

2102010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460866 (or 460862 counting only the distinct ones).

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

Adding to 2102010102120 its reverse (212010102012), we get a palindrome (2314020204132).

The spelling of 2102010102120 in words is "two trillion, one hundred two billion, ten million, one hundred two thousand, one hundred twenty".