2120101000212 has 96 divisors (see below), whose sum is σ = 5381995780224. Its totient is φ = 645662016000.

The previous prime is 2120101000181. The next prime is 2120101000219. The reversal of 2120101000212 is 2120001010212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120101000219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50193262 + ... + 50235482.

It is an arithmetic number, because the mean of its divisors is an integer number (56062456044).

Almost surely, 2^{2120101000212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120101000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690997890112).

2120101000212 is an abundant number, since it is smaller than the sum of its proper divisors (3261894780012).

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

2120101000212 is a wasteful number, since it uses less digits than its factorization.

2120101000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45529 (or 45527 counting only the distinct ones).

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

Adding to 2120101000212 its reverse (2120001010212), we get a palindrome (4240102010424).

The spelling of 2120101000212 in words is "two trillion, one hundred twenty billion, one hundred one million, two hundred twelve", and thus it is an aban number.