2120012212101 has 96 divisors (see below), whose sum is σ = 3414659328000. Its totient is φ = 1165888563840.

The previous prime is 2120012212063. The next prime is 2120012212163. The reversal of 2120012212101 is 1012122100212.

It is not a de Polignac number, because 2120012212101 - 2²² = 2120008017797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012212181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110069410 + ... + 110088668.

It is an arithmetic number, because the mean of its divisors is an integer number (35569368000).

Almost surely, 2^{2120012212101} is an apocalyptic number.

2120012212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120012212101 is a deficient number, since it is larger than the sum of its proper divisors (1294647115899).

2120012212101 is a wasteful number, since it uses less digits than its factorization.

2120012212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599 (or 19592 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120012212101 its reverse (1012122100212), we get a palindrome (3132134312313).

The spelling of 2120012212101 in words is "two trillion, one hundred twenty billion, twelve million, two hundred twelve thousand, one hundred one".