101111111021121 has 32 divisors (see below), whose sum is σ = 136636833667968. Its totient is φ = 66501726289920.

The previous prime is 101111111021111. The next prime is 101111111021267. The reversal of 101111111021121 is 121120111111101.

It is a happy number.

It is not a de Polignac number, because 101111111021121 - 2⁷ = 101111111020993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111111021121.

It is not an unprimeable number, because it can be changed into a prime (101111111021111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350715651 + ... + 351003831.

It is an arithmetic number, because the mean of its divisors is an integer number (4269901052124).

Almost surely, 2^{101111111021121} is an apocalyptic number.

It is an amenable number.

101111111021121 is a deficient number, since it is larger than the sum of its proper divisors (35525722646847).

101111111021121 is a wasteful number, since it uses less digits than its factorization.

101111111021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292801.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 101111111021121 its reverse (121120111111101), we get a palindrome (222231222132222).

The spelling of 101111111021121 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, twenty-one thousand, one hundred twenty-one".