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100220102121020 = 225729143917154103
BaseRepresentation
bin10110110010011001001111…
…100101100001011000111100
3111010211221121020021202201212
4112302121033211201120330
5101114001232120333040
6553052251311023552
730052443362251130
oct2662311745413074
9433757536252655
10100220102121020
1129a2a119a07432
12b2a73b150abb8
1343bc93b046a8b
141aa697099d3c0
15b8be4c932d65
hex5b264f96163c

100220102121020 has 96 divisors (see below), whose sum is σ = 248995250380800. Its totient is φ = 33153252620544.

The previous prime is 100220102121017. The next prime is 100220102121037. The reversal of 100220102121020 is 20121201022001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100220102120986 and 100220102121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734712 + ... + 14419391.

It is an arithmetic number, because the mean of its divisors is an integer number (2593700524800).

Almost surely, 2100220102121020 is an apocalyptic number.

100220102121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220102121020 is an abundant number, since it is smaller than the sum of its proper divisors (148775148259780).

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

100220102121020 is a wasteful number, since it uses less digits than its factorization.

100220102121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17155587 (or 17155585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100220102121020 its reverse (20121201022001), we get a palindrome (120341303143021).

The spelling of 100220102121020 in words is "one hundred trillion, two hundred twenty billion, one hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1439 2030 2878 4060 5756 7195 10073 14390 20146 28780 40292 41731 50365 83462 100730 166924 201460 208655 292117 417310 584234 834620 1168468 1460585 2921170 5842340 17154103 34308206 68616412 85770515 120078721 171541030 240157442 343082060 480314884 497468987 600393605 994937974 1200787210 1989875948 2401574420 2487344935 3482282909 4974689870 6964565818 9949379740 13929131636 17411414545 24684754217 34822829090 49369508434 69645658180 98739016868 123423771085 172793279519 246847542170 345586559038 493695084340 691173118076 715857872293 863966397595 1431715744586 1727932795190 2863431489172 3455865590380 3579289361465 5011005106051 7158578722930 10022010212102 14317157445860 20044020424204 25055025530255 50110051060510 100220102121020