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122100101202020 = 22547591192197157
BaseRepresentation
bin11011110000110010100101…
…001010001100000001100100
3121000022122200222200211020012
4123300302211022030001210
5112000442001401431040
61111404002342025352
734501304221650314
oct3360624512140144
9530278628624205
10122100101202020
11359a53a8a92727
121183b998a18258
135318cb4445416
1422219681a5444
15e1b1856ad865
hex6f0ca528c064

122100101202020 has 48 divisors (see below), whose sum is σ = 261870297615360. Its totient is φ = 47800060374144.

The previous prime is 122100101202007. The next prime is 122100101202083. The reversal of 122100101202020 is 20202101001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100101201986 and 122100101202004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54473282 + ... + 56670438.

It is an arithmetic number, because the mean of its divisors is an integer number (5455631200320).

Almost surely, 2122100101202020 is an apocalyptic number.

122100101202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100101202020 is an abundant number, since it is smaller than the sum of its proper divisors (139770196413340).

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

122100101202020 is a wasteful number, since it uses less digits than its factorization.

122100101202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256332 (or 2256330 counting only the distinct ones).

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

Adding to 122100101202020 its reverse (20202101001221), we get a palindrome (142302202203241).

The spelling of 122100101202020 in words is "one hundred twenty-two trillion, one hundred billion, one hundred one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 59119 118238 236476 295595 591190 1182380 2197157 2778593 4394314 5557186 8788628 10985785 11114372 13892965 21971570 27785930 43943140 55571860 103266379 206532758 413065516 516331895 1032663790 2065327580 129893724683 259787449366 519574898732 649468623415 1298937246830 2597874493660 6105005060101 12210010120202 24420020240404 30525025300505 61050050601010 122100101202020