101021000121 has 20 divisors (see below), whose sum is σ = 150920053812. Its totient is φ = 67341915648.

The previous prime is 101021000111. The next prime is 101021000147. The reversal of 101021000121 is 121000120101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67956669225 + 33064330896 = 260685^2 + 181836^2 .

It is not a de Polignac number, because 101021000121 - 2⁶ = 101021000057 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 (101021000111) 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 19 ways as a sum of consecutive naturals, for example, 1134601 + ... + 1220393.

Almost surely, 2^101021000121 is an apocalyptic number.

It is an amenable number.

101021000121 is a deficient number, since it is larger than the sum of its proper divisors (49899053691).

101021000121 is an equidigital number, since it uses as much as digits as its factorization.

101021000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100342 (or 100333 counting only the distinct ones).

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

Adding to 101021000121 its reverse (121000120101), we get a palindrome (222021120222).

The spelling of 101021000121 in words is "one hundred one billion, twenty-one million, one hundred twenty-one", and thus it is an aban number.