100111020021121 has 8 divisors (see below), whose sum is σ = 100143745927400. Its totient is φ = 100078299474048.

The previous prime is 100111020021109. The next prime is 100111020021139. The reversal of 100111020021121 is 121120020111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1002623718721 + 99108396302400 = 1001311^2 + 9955320^2 .

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 100111020021121 - 2¹³ = 100111020012929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111020021151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36198355 + ... + 38865703.

It is an arithmetic number, because the mean of its divisors is an integer number (12517968240925).

Almost surely, 2^{100111020021121} is an apocalyptic number.

It is an amenable number.

100111020021121 is a deficient number, since it is larger than the sum of its proper divisors (32725906279).

100111020021121 is an equidigital number, since it uses as much as digits as its factorization.

100111020021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679603.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111020021121 its reverse (121120020111001), we get a palindrome (221231040132122).

The spelling of 100111020021121 in words is "one hundred trillion, one hundred eleven billion, twenty million, twenty-one thousand, one hundred twenty-one".