100021102001001 has 24 divisors (see below), whose sum is σ = 153071952382440. Its totient is φ = 62717927325696.

The previous prime is 100021102000943. The next prime is 100021102001129. The reversal of 100021102001001 is 100100201120001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15147702920025 + 84873399080976 = 3892005^2 + 9212676^2 .

It is not a de Polignac number, because 100021102001001 - 2²¹ = 100021099903849 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 (100021102011001) 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, 210236536 + ... + 210711753.

It is an arithmetic number, because the mean of its divisors is an integer number (6377998015935).

Almost surely, 2^{100021102001001} is an apocalyptic number.

It is an amenable number.

100021102001001 is a deficient number, since it is larger than the sum of its proper divisors (53050850381439).

100021102001001 is a wasteful number, since it uses less digits than its factorization.

100021102001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420949865 (or 420949862 counting only the distinct ones).

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

Adding to 100021102001001 its reverse (100100201120001), we get a palindrome (200121303121002).

The spelling of 100021102001001 in words is "one hundred trillion, twenty-one billion, one hundred two million, one thousand, one".