10110211011121 has 16 divisors (see below), whose sum is σ = 10999981460160. Its totient is φ = 9236825357760.

The previous prime is 10110211011049. The next prime is 10110211011151. The reversal of 10110211011121 is 12111011201101.

It is not a de Polignac number, because 10110211011121 - 2¹⁹ = 10110210486833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110211011151) 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, 7186630 + ... + 8477503.

It is an arithmetic number, because the mean of its divisors is an integer number (687498841260).

Almost surely, 2^{10110211011121} is an apocalyptic number.

It is an amenable number.

10110211011121 is a deficient number, since it is larger than the sum of its proper divisors (889770449039).

10110211011121 is a wasteful number, since it uses less digits than its factorization.

10110211011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664656.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10110211011121 its reverse (12111011201101), we get a palindrome (22221222212222).

The spelling of 10110211011121 in words is "ten trillion, one hundred ten billion, two hundred eleven million, eleven thousand, one hundred twenty-one".