101012321121 has 32 divisors (see below), whose sum is σ = 141646061568. Its totient is φ = 63949798080.

The previous prime is 101012321117. The next prime is 101012321143. The reversal of 101012321121 is 121123210101.

It is not a de Polignac number, because 101012321121 - 2² = 101012321117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101012321121.

It is not an unprimeable number, because it can be changed into a prime (101012321161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7013890 + ... + 7028276.

It is an arithmetic number, because the mean of its divisors is an integer number (4426439424).

Almost surely, 2^101012321121 is an apocalyptic number.

It is an amenable number.

101012321121 is a deficient number, since it is larger than the sum of its proper divisors (40633740447).

101012321121 is a wasteful number, since it uses less digits than its factorization.

101012321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101012321121 its reverse (121123210101), we get a palindrome (222135531222).

The spelling of 101012321121 in words is "one hundred one billion, twelve million, three hundred twenty-one thousand, one hundred twenty-one".