2101772101 has 32 divisors (see below), whose sum is σ = 2626864128. Its totient is φ = 1652106240.

The previous prime is 2101772093. The next prime is 2101772119. The reversal of 2101772101 is 1012771012.

It is not a de Polignac number, because 2101772101 - 2³ = 2101772093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101772201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540175 + ... + 544051.

It is an arithmetic number, because the mean of its divisors is an integer number (82089504).

Almost surely, 2^2101772101 is an apocalyptic number.

It is an amenable number.

2101772101 is a deficient number, since it is larger than the sum of its proper divisors (525092027).

2101772101 is a wasteful number, since it uses less digits than its factorization.

2101772101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141.

The product of its (nonzero) digits is 196, while the sum is 22.

The square root of 2101772101 is about 45845.0880793134. The cubic root of 2101772101 is about 1280.9392725417.

The spelling of 2101772101 in words is "two billion, one hundred one million, seven hundred seventy-two thousand, one hundred one".