10120121121121 has 16 divisors (see below), whose sum is σ = 11172335096448. Its totient is φ = 9090315072000.

The previous prime is 10120121121119. The next prime is 10120121121127. The reversal of 10120121121121 is 12112112102101.

It is a cyclic number.

It is not a de Polignac number, because 10120121121121 - 2¹ = 10120121121119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120121121095 and 10120121121104.

It is not an unprimeable number, because it can be changed into a prime (10120121121127) 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, 8811120 + ... + 9893233.

It is an arithmetic number, because the mean of its divisors is an integer number (698270943528).

Almost surely, 2^{10120121121121} is an apocalyptic number.

10120121121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120121121121 is a deficient number, since it is larger than the sum of its proper divisors (1052213975327).

10120121121121 is a wasteful number, since it uses less digits than its factorization.

10120121121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18704952.

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

Adding to 10120121121121 its reverse (12112112102101), we get a palindrome (22232233223222).

The spelling of 10120121121121 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".