101021100111121 has 4 divisors (see below), whose sum is σ = 101533897573812. Its totient is φ = 100508302648432.

The previous prime is 101021100111059. The next prime is 101021100111163. The reversal of 101021100111121 is 121111001120101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60509962804225 + 40511137306896 = 7778815^2 + 6364836^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021100111121 - 2¹⁹ = 101021099586833 is a prime.

It is a super-2 number, since 2×101021100111121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021100111181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256398731050 + ... + 256398731443.

It is an arithmetic number, because the mean of its divisors is an integer number (25383474393453).

Almost surely, 2^{101021100111121} is an apocalyptic number.

It is an amenable number.

101021100111121 is a deficient number, since it is larger than the sum of its proper divisors (512797462691).

101021100111121 is an equidigital number, since it uses as much as digits as its factorization.

101021100111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512797462690.

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

Adding to 101021100111121 its reverse (121111001120101), we get a palindrome (222132101231222).

The spelling of 101021100111121 in words is "one hundred one trillion, twenty-one billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".