2130120001020 has 192 divisors, whose sum is σ = 6718038147072. Its totient is φ = 499615776000.

The previous prime is 2130120001007. The next prime is 2130120001063. The reversal of 2130120001020 is 201000210312.

It is a super-2 number, since 2×2130120001020² (a number of 25 digits) contains 22 as substring.

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 = 2130120000987 and 2130120001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109389885 + ... + 109409355.

It is an arithmetic number, because the mean of its divisors is an integer number (34989782016).

Almost surely, 2^{2130120001020} is an apocalyptic number.

2130120001020 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 2130120001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359019073536).

2130120001020 is an abundant number, since it is smaller than the sum of its proper divisors (4587918146052).

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

2130120001020 is a wasteful number, since it uses less digits than its factorization.

2130120001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24872 (or 24870 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2130120001020 its reverse (201000210312), we get a palindrome (2331120211332).

The spelling of 2130120001020 in words is "two trillion, one hundred thirty billion, one hundred twenty million, one thousand, twenty".