2131210101020 has 1152 divisors, whose sum is σ = 6830339862528. Its totient is φ = 540439511040.

The previous prime is 2131210101019. The next prime is 2131210101061. The reversal of 2131210101020 is 201010121312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2131210100986 and 2131210101004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4563618827 + ... + 4563619293.

It is an arithmetic number, because the mean of its divisors is an integer number (5929114464).

Almost surely, 2^{2131210101020} is an apocalyptic number.

2131210101020 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 2131210101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415169931264).

2131210101020 is an abundant number, since it is smaller than the sum of its proper divisors (4699129761508).

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

2131210101020 is a wasteful number, since it uses less digits than its factorization.

2131210101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2131210101020 its reverse (201010121312), we get a palindrome (2332220222332).

The spelling of 2131210101020 in words is "two trillion, one hundred thirty-one billion, two hundred ten million, one hundred one thousand, twenty".