101011203121 has 32 divisors (see below), whose sum is σ = 108120241152. Its totient is φ = 94228592640.

The previous prime is 101011203113. The next prime is 101011203131. The reversal of 101011203121 is 121302110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011203121 - 2³ = 101011203113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011203131) 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 31 ways as a sum of consecutive naturals, for example, 55408416 + ... + 55410238.

It is an arithmetic number, because the mean of its divisors is an integer number (3378757536).

Almost surely, 2^101011203121 is an apocalyptic number.

It is an amenable number.

101011203121 is a deficient number, since it is larger than the sum of its proper divisors (7109038031).

101011203121 is a wasteful number, since it uses less digits than its factorization.

101011203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101011203121 its reverse (121302110101), we get a palindrome (222313313222).

The spelling of 101011203121 in words is "one hundred one billion, eleven million, two hundred three thousand, one hundred twenty-one".