100020212130401 has 8 divisors (see below), whose sum is σ = 100702504889064. Its totient is φ = 99340081948800.

The previous prime is 100020212130361. The next prime is 100020212130403. The reversal of 100020212130401 is 104031212020001.

It can be written as a sum of positive squares in 4 ways, for example, as 2354923499776 + 97665288630625 = 1534576^2 + 9882575^2 .

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 100020212130401 - 2⁶ = 100020212130337 is a prime.

It is a super-2 number, since 2×100020212130401² (a number of 29 digits) contains 22 as substring.

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 100020212130401.

It is not an unprimeable number, because it can be changed into a prime (100020212130403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540551450 + ... + 540736451.

It is an arithmetic number, because the mean of its divisors is an integer number (12587813111133).

Almost surely, 2^{100020212130401} is an apocalyptic number.

It is an amenable number.

100020212130401 is a deficient number, since it is larger than the sum of its proper divisors (682292758663).

100020212130401 is a wasteful number, since it uses less digits than its factorization.

100020212130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081288531.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100020212130401 its reverse (104031212020001), we get a palindrome (204051424150402).

The spelling of 100020212130401 in words is "one hundred trillion, twenty billion, two hundred twelve million, one hundred thirty thousand, four hundred one".