10211120101 has 24 divisors (see below), whose sum is σ = 13044263424. Its totient is φ = 7818482880.

The previous prime is 10211120077. The next prime is 10211120137. The reversal of 10211120101 is 10102111201.

10211120101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211120101 - 2¹⁷ = 10210989029 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 (10211120141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102546 + ... + 175891.

It is an arithmetic number, because the mean of its divisors is an integer number (543510976).

Almost surely, 2^10211120101 is an apocalyptic number.

It is an amenable number.

10211120101 is a deficient number, since it is larger than the sum of its proper divisors (2833143323).

10211120101 is a wasteful number, since it uses less digits than its factorization.

10211120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278501 (or 278488 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211120101 its reverse (10102111201), we get a palindrome (20313231302).

The spelling of 10211120101 in words is "ten billion, two hundred eleven million, one hundred twenty thousand, one hundred one".