101050101121 has 8 divisors (see below), whose sum is σ = 101445343488. Its totient is φ = 100655604000.

The previous prime is 101050101107. The next prime is 101050101167. The reversal of 101050101121 is 121101050101.

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 101050101121 - 2⁹ = 101050100609 is a prime.

It is a super-2 number, since 2×101050101121² (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 (101050102121) 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, 86181 + ... + 457741.

It is an arithmetic number, because the mean of its divisors is an integer number (12680667936).

Almost surely, 2^101050101121 is an apocalyptic number.

It is an amenable number.

101050101121 is a deficient number, since it is larger than the sum of its proper divisors (395242367).

101050101121 is an equidigital number, since it uses as much as digits as its factorization.

101050101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372623.

The product of its (nonzero) digits is 10, while the sum is 13.

Adding to 101050101121 its reverse (121101050101), we get a palindrome (222151151222).

The spelling of 101050101121 in words is "one hundred one billion, fifty million, one hundred one thousand, one hundred twenty-one".