10120211101 has 32 divisors (see below), whose sum is σ = 13599000576. Its totient is φ = 7273368000.

The previous prime is 10120211089. The next prime is 10120211149. The reversal of 10120211101 is 10111202101.

It is a cyclic number.

It is not a de Polignac number, because 10120211101 - 2³³ = 1530276509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120211501) 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, 1509166 + ... + 1515856.

It is an arithmetic number, because the mean of its divisors is an integer number (424968768).

Almost surely, 2^10120211101 is an apocalyptic number.

10120211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120211101 is a deficient number, since it is larger than the sum of its proper divisors (3478789475).

10120211101 is a wasteful number, since it uses less digits than its factorization.

10120211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233.

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

Adding to 10120211101 its reverse (10111202101), we get a palindrome (20231413202).

It can be divided in two parts, 101 and 20211101, that added together give a palindrome (20211202).

The spelling of 10120211101 in words is "ten billion, one hundred twenty million, two hundred eleven thousand, one hundred one".