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100012202100221 = 1971291193931847
BaseRepresentation
bin10110101111010111100111…
…110001111000010111111101
3111010010001222022201110000112
4112233113213301320113331
5101102044442214201341
6552412545452035405
730031433413241405
oct2657274761702775
9433101868643015
10100012202100221
1129959a33855724
12b273050162b65
1343a615811b9a8
141a9a88b5db805
15b86830b61aeb
hex5af5e7c785fd

100012202100221 has 8 divisors (see below), whose sum is σ = 100520682324480. Its totient is φ = 99503729998288.

The previous prime is 100012202100169. The next prime is 100012202100229. The reversal of 100012202100221 is 122001202210001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100012202100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012202100196 and 100012202100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012202100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23470520 + ... + 27402366.

It is an arithmetic number, because the mean of its divisors is an integer number (12565085290560).

Almost surely, 2100012202100221 is an apocalyptic number.

It is an amenable number.

100012202100221 is a deficient number, since it is larger than the sum of its proper divisors (508480224259).

100012202100221 is a wasteful number, since it uses less digits than its factorization.

100012202100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061163.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100012202100221 its reverse (122001202210001), we get a palindrome (222013404310222).

The spelling of 100012202100221 in words is "one hundred trillion, twelve billion, two hundred two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 197 129119 3931847 25436443 774573859 507676152793 100012202100221