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10220121100 = 2252722085739
BaseRepresentation
bin10011000010010101…
…01010110000001100
3222101020221221111201
421201022222300030
5131412322333400
64410044355244
7511156411300
oct114112526014
928336857451
1010220121100
114374aa0282
121b92845b24
13c6b49b047
146cd4a1d00
153ec38e06a
hex2612aac0c

10220121100 has 54 divisors (see below), whose sum is σ = 25798518060. Its totient is φ = 3504039840.

The previous prime is 10220121097. The next prime is 10220121103. The reversal of 10220121100 is 112102201.

It is an interprime number because it is at equal distance from previous prime (10220121097) and next prime (10220121103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10220121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1037970 + ... + 1047769.

Almost surely, 210220121100 is an apocalyptic number.

10220121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220121100 is an abundant number, since it is smaller than the sum of its proper divisors (15578396960).

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

10220121100 is a wasteful number, since it uses less digits than its factorization.

10220121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085767 (or 2085753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220121100 its reverse (112102201), we get a palindrome (10332223301).

The spelling of 10220121100 in words is "ten billion, two hundred twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2085739 4171478 8342956 10428695 14600173 20857390 29200346 41714780 52143475 58400692 73000865 102201211 104286950 146001730 204402422 208573900 292003460 365004325 408804844 511006055 730008650 1022012110 1460017300 2044024220 2555030275 5110060550 10220121100