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100220101101 = 3215776992233
BaseRepresentation
bin101110101010110010…
…1010110000111101101
3100120200111210122012100
41131111211112013231
53120222321213401
6114012424325313
710145355542451
oct1352545260755
9316614718170
10100220101101
11395596a833a
121750b613839
1395b22b4193
144bca396661
152918714b86
hex17559561ed

100220101101 has 24 divisors (see below), whose sum is σ = 145875449720. Its totient is φ = 66300788736.

The previous prime is 100220101099. The next prime is 100220101109. The reversal of 100220101101 is 101101022001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142778601 + 100077322500 = 11949^2 + 316350^2 .

It is not a de Polignac number, because 100220101101 - 21 = 100220101099 is a prime.

It is a super-2 number, since 2×1002201011012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040481 + ... + 1132713.

Almost surely, 2100220101101 is an apocalyptic number.

It is an amenable number.

100220101101 is a deficient number, since it is larger than the sum of its proper divisors (45655348619).

100220101101 is a wasteful number, since it uses less digits than its factorization.

100220101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93165 (or 93162 counting only the distinct ones).

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

Adding to 100220101101 its reverse (101101022001), we get a palindrome (201321123102).

The spelling of 100220101101 in words is "one hundred billion, two hundred twenty million, one hundred one thousand, one hundred one".

Divisors: 1 3 9 157 471 769 1413 2307 6921 92233 120733 276699 362199 830097 1086597 14480581 43441743 70927177 130325229 212781531 638344593 11135566789 33406700367 100220101101