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101022202220200 = 2352505111011101
BaseRepresentation
bin10110111110000100010000…
…011110100100111010101000
3111020200121221222010121012121
4112332010100132210322220
5101220121432232021300
6554504543051521024
730164420226512242
oct2676042036447250
9436617858117177
10101022202220200
112a209303567788
12b3b6943159174
13444a478117491
141ad3701bd9092
15ba2c452ab81a
hex5be1107a4ea8

101022202220200 has 24 divisors (see below), whose sum is σ = 234876620162430. Its totient is φ = 40408880888000.

The previous prime is 101022202220143. The next prime is 101022202220209. The reversal of 101022202220200 is 2022202220101.

It can be written as a sum of positive squares in 3 ways, for example, as 48524960952196 + 52497241268004 = 6965986^2 + 7245498^2 .

It is not an unprimeable number, because it can be changed into a prime (101022202220209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252555505351 + ... + 252555505750.

Almost surely, 2101022202220200 is an apocalyptic number.

101022202220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022202220200 is an abundant number, since it is smaller than the sum of its proper divisors (133854417942230).

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

101022202220200 is a wasteful number, since it uses less digits than its factorization.

101022202220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505111011117 (or 505111011108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101022202220200 its reverse (2022202220101), we get a palindrome (103044404440301).

Subtracting from 101022202220200 its reverse (2022202220101), we obtain a palindrome (99000000000099).

The spelling of 101022202220200 in words is "one hundred one trillion, twenty-two billion, two hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 505111011101 1010222022202 2020444044404 2525555055505 4040888088808 5051110111010 10102220222020 12627775277525 20204440444040 25255550555050 50511101110100 101022202220200