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101222100020 = 2255061105001
BaseRepresentation
bin101111001000101001…
…1101010110000110100
3100200021100020110022102
41132101103222300310
53124300324200040
6114300100521232
710212243440216
oct1362123526064
9320240213272
10101222100020
1139a23266a18
121774b0b0218
139711a71152
144c834a45b6
15297668d515
hex17914eac34

101222100020 has 12 divisors (see below), whose sum is σ = 212566410084. Its totient is φ = 40488840000.

The previous prime is 101222100017. The next prime is 101222100059. The reversal of 101222100020 is 20001222101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22556435344 + 78665664676 = 150188^2 + 280474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101222099974 and 101222100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2530552481 + ... + 2530552520.

It is an arithmetic number, because the mean of its divisors is an integer number (17713867507).

Almost surely, 2101222100020 is an apocalyptic number.

101222100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222100020 is an abundant number, since it is smaller than the sum of its proper divisors (111344310064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222100020 is a wasteful number, since it uses less digits than its factorization.

101222100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061105010 (or 5061105008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101222100020 its reverse (20001222101), we get a palindrome (121223322121).

The spelling of 101222100020 in words is "one hundred one billion, two hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 5061105001 10122210002 20244420004 25305525005 50611050010 101222100020