101000201121 has 12 divisors (see below), whose sum is σ = 153567557520. Its totient is φ = 63789600600.

The previous prime is 101000201111. The next prime is 101000201123. The reversal of 101000201121 is 121102000101.

It is a happy number.

It is not a de Polignac number, because 101000201121 - 2¹⁴ = 101000184737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101000201123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295322055 + ... + 295322396.

It is an arithmetic number, because the mean of its divisors is an integer number (12797296460).

Almost surely, 2^101000201121 is an apocalyptic number.

It is an amenable number.

101000201121 is a deficient number, since it is larger than the sum of its proper divisors (52567356399).

101000201121 is a wasteful number, since it uses less digits than its factorization.

101000201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590644476 (or 590644473 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000201121 its reverse (121102000101), we get a palindrome (222102201222).

The spelling of 101000201121 in words is "one hundred one billion, two hundred one thousand, one hundred twenty-one".