101201121121 has 8 divisors (see below), whose sum is σ = 103359110400. Its totient is φ = 99043330848.

The previous prime is 101201121103. The next prime is 101201121137. The reversal of 101201121121 is 121121102101.

It is a happy number.

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 101201121121 - 2¹⁷ = 101200990049 is a prime.

It is a super-2 number, since 2×101201121121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463100 + ... + 1530706.

It is an arithmetic number, because the mean of its divisors is an integer number (12919888800).

Almost surely, 2^101201121121 is an apocalyptic number.

It is an amenable number.

101201121121 is a deficient number, since it is larger than the sum of its proper divisors (2157989279).

101201121121 is an equidigital number, since it uses as much as digits as its factorization.

101201121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99503.

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

Adding to 101201121121 its reverse (121121102101), we get a palindrome (222322223222).

The spelling of 101201121121 in words is "one hundred one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".