100021002001001 has 4 divisors (see below), whose sum is σ = 100057626317904. Its totient is φ = 99984377684100.

The previous prime is 100021002000979. The next prime is 100021002001013. The reversal of 100021002001001 is 100100200120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100021002001001 - 2³⁴ = 100003822131817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100021002001001.

It is not an unprimeable number, because it can be changed into a prime (100021002001301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18312154355 + ... + 18312159816.

It is an arithmetic number, because the mean of its divisors is an integer number (25014406579476).

Almost surely, 2^{100021002001001} is an apocalyptic number.

It is an amenable number.

100021002001001 is a deficient number, since it is larger than the sum of its proper divisors (36624316903).

100021002001001 is an equidigital number, since it uses as much as digits as its factorization.

100021002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36624316902.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100021002001001 its reverse (100100200120001), we get a palindrome (200121202121002).

The spelling of 100021002001001 in words is "one hundred trillion, twenty-one billion, two million, one thousand, one".