101001211120121 has 8 divisors (see below), whose sum is σ = 108773345258760. Its totient is φ = 93229478439552.

The previous prime is 101001211120097. The next prime is 101001211120123. The reversal of 101001211120121 is 121021112100101.

It can be written as a sum of positive squares in 4 ways, for example, as 25612556983225 + 75388654136896 = 5060885^2 + 8682664^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-101001211120121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001211120096 and 101001211120105.

It is not an unprimeable number, because it can be changed into a prime (101001211120123) 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, 99841886 + ... + 100848423.

It is an arithmetic number, because the mean of its divisors is an integer number (13596668157345).

Almost surely, 2^{101001211120121} is an apocalyptic number.

It is an amenable number.

101001211120121 is a deficient number, since it is larger than the sum of its proper divisors (7772134138639).

101001211120121 is a wasteful number, since it uses less digits than its factorization.

101001211120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200729035.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001211120121 its reverse (121021112100101), we get a palindrome (222022323220222).

The spelling of 101001211120121 in words is "one hundred one trillion, one billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty-one".