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101020202102200 = 23521135478171701
BaseRepresentation
bin10110111110000010011001…
…010000101110110110111000
3111020200102210120120002010011
4112332002121100232312320
5101220103333214232300
6554504012402231304
730164316532006363
oct2676023120566670
9436612716502104
10101020202102200
112a20847754a4a7
12b3b6485355534
13444a21992b4c4
141ad359230d0da
15ba2b798c3eba
hex5be09942edb8

101020202102200 has 96 divisors (see below), whose sum is σ = 237383693814960. Its totient is φ = 39977263872000.

The previous prime is 101020202102173. The next prime is 101020202102213. The reversal of 101020202102200 is 2201202020101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8276350 + ... + 16448050.

Almost surely, 2101020202102200 is an apocalyptic number.

101020202102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020202102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118691846907480).

101020202102200 is an abundant number, since it is smaller than the sum of its proper divisors (136363491712760).

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

101020202102200 is a wasteful number, since it uses less digits than its factorization.

101020202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172377 (or 8172368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101020202102200 its reverse (2201202020101), we get a palindrome (103221404122301).

The spelling of 101020202102200 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 547 565 904 1094 1130 2188 2260 2735 2825 4376 4520 5470 5650 10940 11300 13675 21880 22600 27350 54700 61811 109400 123622 247244 309055 494488 618110 1236220 1545275 2472440 3090550 6181100 8171701 12362200 16343402 32686804 40858505 65373608 81717010 163434020 204292525 326868040 408585050 817170100 923402213 1634340200 1846804426 3693608852 4469920447 4617011065 7387217704 8939840894 9234022130 17879681788 18468044260 22349602235 23085055325 35759363576 36936088520 44699204470 46170110650 89398408940 92340221300 111748011175 178796817880 184680442600 223496022350 446992044700 505101010511 893984089400 1010202021022 2020404042044 2525505052555 4040808084088 5051010105110 10102020210220 12627525262775 20204040420440 25255050525550 50510101051100 101020202102200