10101120211101 has 32 divisors (see below), whose sum is σ = 13776864393600. Its totient is φ = 6581872394240.

The previous prime is 10101120211097. The next prime is 10101120211103. The reversal of 10101120211101 is 10111202110101.

It is a cyclic number.

It is not a de Polignac number, because 10101120211101 - 2² = 10101120211097 is a prime.

It is a super-2 number, since 2×10101120211101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101120211103) 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, 8427235 + ... + 9550943.

It is an arithmetic number, because the mean of its divisors is an integer number (430527012300).

Almost surely, 2^{10101120211101} is an apocalyptic number.

It is an amenable number.

10101120211101 is a deficient number, since it is larger than the sum of its proper divisors (3675744182499).

10101120211101 is a wasteful number, since it uses less digits than its factorization.

10101120211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124189.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10101120211101 its reverse (10111202110101), we get a palindrome (20212322321202).

The spelling of 10101120211101 in words is "ten trillion, one hundred one billion, one hundred twenty million, two hundred eleven thousand, one hundred one".