10111020101121 has 8 divisors (see below), whose sum is σ = 13481414619264. Its totient is φ = 6740652825200.

The previous prime is 10111020101101. The next prime is 10111020101123. The reversal of 10111020101121 is 12110102011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111020101121 - 2⁶ = 10111020101057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111020101097 and 10111020101106.

It is not an unprimeable number, because it can be changed into a prime (10111020101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5928201 + ... + 7440806.

It is an arithmetic number, because the mean of its divisors is an integer number (1685176827408).

Almost surely, 2^{10111020101121} is an apocalyptic number.

It is an amenable number.

10111020101121 is a deficient number, since it is larger than the sum of its proper divisors (3370394518143).

10111020101121 is a wasteful number, since it uses less digits than its factorization.

10111020101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13621111.

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

Adding to 10111020101121 its reverse (12110102011101), we get a palindrome (22221122112222).

The spelling of 10111020101121 in words is "ten trillion, one hundred eleven billion, twenty million, one hundred one thousand, one hundred twenty-one".