100002101021001 has 48 divisors (see below), whose sum is σ = 149533371187200. Its totient is φ = 64323973494144.

The previous prime is 100002101020981. The next prime is 100002101021087. The reversal of 100002101021001 is 100120101200001.

It is a happy number.

It is not a de Polignac number, because 100002101021001 - 2²¹ = 100002098923849 is a prime.

It is a super-2 number, since 2×100002101021001² (a number of 29 digits) contains 22 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 (100002101041001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3986199480 + ... + 3986224566.

It is an arithmetic number, because the mean of its divisors is an integer number (3115278566400).

Almost surely, 2^{100002101021001} is an apocalyptic number.

It is an amenable number.

100002101021001 is a deficient number, since it is larger than the sum of its proper divisors (49531270166199).

100002101021001 is a wasteful number, since it uses less digits than its factorization.

100002101021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35238 (or 35235 counting only the distinct ones).

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

Adding to 100002101021001 its reverse (100120101200001), we get a palindrome (200122202221002).

The spelling of 100002101021001 in words is "one hundred trillion, two billion, one hundred one million, twenty-one thousand, one".