10101135121 has 16 divisors (see below), whose sum is σ = 12602465280. Its totient is φ = 7865488080.

The previous prime is 10101135103. The next prime is 10101135133. The reversal of 10101135121 is 12153110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10101135121 - 2⁷ = 10101134993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101135095 and 10101135104.

It is not an unprimeable number, because it can be changed into a prime (10101135721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66090 + ... + 156748.

It is an arithmetic number, because the mean of its divisors is an integer number (787654080).

Almost surely, 2^10101135121 is an apocalyptic number.

10101135121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101135121 is a deficient number, since it is larger than the sum of its proper divisors (2501330159).

10101135121 is a wasteful number, since it uses less digits than its factorization.

10101135121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92124.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10101135121 its reverse (12153110101), we get a palindrome (22254245222).

The spelling of 10101135121 in words is "ten billion, one hundred one million, one hundred thirty-five thousand, one hundred twenty-one".