2101120101 has 32 divisors (see below), whose sum is σ = 3187699200. Its totient is φ = 1367193600.

The previous prime is 2101120061. The next prime is 2101120121. The reversal of 2101120101 is 1010211012.

It is a happy number.

It is not a de Polignac number, because 2101120101 - 2⁶ = 2101120037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101120121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 506805 + ... + 510933.

It is an arithmetic number, because the mean of its divisors is an integer number (99615600).

Almost surely, 2^2101120101 is an apocalyptic number.

It is an amenable number.

2101120101 is a deficient number, since it is larger than the sum of its proper divisors (1086579099).

2101120101 is a wasteful number, since it uses less digits than its factorization.

2101120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2101120101 is about 45837.9766241923. The cubic root of 2101120101 is about 1280.8068035677.

Adding to 2101120101 its reverse (1010211012), we get a palindrome (3111331113).

The spelling of 2101120101 in words is "two billion, one hundred one million, one hundred twenty thousand, one hundred one".