100210100121001 has 8 divisors (see below), whose sum is σ = 111399813534464. Its totient is φ = 89517707303760.

The previous prime is 100210100120981. The next prime is 100210100121013. The reversal of 100210100121001 is 100121001012001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100210100121001 - 2⁹ = 100210100120489 is a prime.

It is a super-2 number, since 2×100210100121001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100210100121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124330148631 + ... + 124330149436.

It is an arithmetic number, because the mean of its divisors is an integer number (13924976691808).

Almost surely, 2^{100210100121001} is an apocalyptic number.

It is an amenable number.

100210100121001 is a deficient number, since it is larger than the sum of its proper divisors (11189713413463).

100210100121001 is a wasteful number, since it uses less digits than its factorization.

100210100121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248660298111.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210100121001 its reverse (100121001012001), we get a palindrome (200331101133002).

The spelling of 100210100121001 in words is "one hundred trillion, two hundred ten billion, one hundred million, one hundred twenty-one thousand, one".