100011021002001 has 16 divisors (see below), whose sum is σ = 148165981561920. Its totient is φ = 66673336299840.

The previous prime is 100011021001967. The next prime is 100011021002027. The reversal of 100011021002001 is 100200120110001.

It is a happy number.

It is not a de Polignac number, because 100011021002001 - 2¹⁰ = 100011021000977 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 (100011021002041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16112415 + ... + 21439028.

It is an arithmetic number, because the mean of its divisors is an integer number (9260373847620).

Almost surely, 2^{100011021002001} is an apocalyptic number.

It is an amenable number.

100011021002001 is a deficient number, since it is larger than the sum of its proper divisors (48154960559919).

100011021002001 is an equidigital number, since it uses as much as digits as its factorization.

100011021002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37650093 (or 37650087 counting only the distinct ones).

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

Adding to 100011021002001 its reverse (100200120110001), we get a palindrome (200211141112002).

The spelling of 100011021002001 in words is "one hundred trillion, eleven billion, twenty-one million, two thousand, one".