10120101121 has 16 divisors (see below), whose sum is σ = 11104042320. Its totient is φ = 9167155200.

The previous prime is 10120101113. The next prime is 10120101133. The reversal of 10120101121 is 12110102101.

It can be written as a sum of positive squares in 8 ways, for example, as 576960400 + 9543140721 = 24020^2 + 97689^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120101121 - 2³ = 10120101113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120101098 and 10120101107.

It is not an unprimeable number, because it can be changed into a prime (10120101421) 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, 114265 + ... + 182473.

It is an arithmetic number, because the mean of its divisors is an integer number (694002645).

Almost surely, 2^10120101121 is an apocalyptic number.

It is an amenable number.

10120101121 is a deficient number, since it is larger than the sum of its proper divisors (983941199).

10120101121 is a wasteful number, since it uses less digits than its factorization.

10120101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68436.

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

Adding to 10120101121 its reverse (12110102101), we get a palindrome (22230203222).

The spelling of 10120101121 in words is "ten billion, one hundred twenty million, one hundred one thousand, one hundred twenty-one".