2130212003101 has 48 divisors (see below), whose sum is σ = 2685799393200. Its totient is φ = 1674624817152.

The previous prime is 2130212003081. The next prime is 2130212003119. The reversal of 2130212003101 is 1013002120312.

It can be written as a sum of positive squares in 8 ways, for example, as 227122777476 + 1903089225625 = 476574^2 + 1379525^2 .

It is not a de Polignac number, because 2130212003101 - 2³³ = 2121622068509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130212093101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63898005 + ... + 63931333.

It is an arithmetic number, because the mean of its divisors is an integer number (55954154025).

Almost surely, 2^{2130212003101} is an apocalyptic number.

It is an amenable number.

2130212003101 is a deficient number, since it is larger than the sum of its proper divisors (555587390099).

2130212003101 is a wasteful number, since it uses less digits than its factorization.

2130212003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33998 (or 33991 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2130212003101 its reverse (1013002120312), we get a palindrome (3143214123413).

It can be divided in two parts, 213021 and 2003101, that added together give a palindrome (2216122).

The spelling of 2130212003101 in words is "two trillion, one hundred thirty billion, two hundred twelve million, three thousand, one hundred one".