101021021001 has 24 divisors (see below), whose sum is σ = 147070277640. Its totient is φ = 66818188800.

The previous prime is 101021020999. The next prime is 101021021021. The reversal of 101021021001 is 100120120101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21792845376 + 79228175625 = 147624^2 + 281475^2 .

It is not a de Polignac number, because 101021021001 - 2¹ = 101021020999 is a prime.

It is a super-3 number, since 3×101021021001³ (a number of 34 digits) contains 333 as substring.

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 (101021021021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496891 + ... + 670031.

It is an arithmetic number, because the mean of its divisors is an integer number (6127928235).

Almost surely, 2^101021021001 is an apocalyptic number.

It is an amenable number.

101021021001 is a deficient number, since it is larger than the sum of its proper divisors (46049256639).

101021021001 is a wasteful number, since it uses less digits than its factorization.

101021021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173657 (or 173654 counting only the distinct ones).

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

Adding to 101021021001 its reverse (100120120101), we get a palindrome (201141141102).

The spelling of 101021021001 in words is "one hundred one billion, twenty-one million, twenty-one thousand, one".