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202122010120101 = 3376771607363031
BaseRepresentation
bin101101111101010000110010…
…100111010100111110100101
3222111122200020102001012102120
4231331100302213110332211
5202443031334042320401
61553513323010500153
760400555555606461
oct5575206247247645
9874580212035376
10202122010120101
1159447510448235
121a804724294659
1388a20402b9096
1437caa8678b4a1
1518579cd733836
hexb7d4329d4fa5

202122010120101 has 64 divisors (see below), whose sum is σ = 284918646214656. Its totient is φ = 127307368742400.

The previous prime is 202122010120031. The next prime is 202122010120127. The reversal of 202122010120101 is 101021010221202.

It is not a de Polignac number, because 202122010120101 - 237 = 201984571166629 is a prime.

It is a super-2 number, since 2×2021220101201012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122010120171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3206676456 + ... + 3206739486.

It is an arithmetic number, because the mean of its divisors is an integer number (4451853847104).

Almost surely, 2202122010120101 is an apocalyptic number.

It is an amenable number.

202122010120101 is a deficient number, since it is larger than the sum of its proper divisors (82796636094555).

202122010120101 is a wasteful number, since it uses less digits than its factorization.

202122010120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69282.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202122010120101 its reverse (101021010221202), we get a palindrome (303143020341303).

The spelling of 202122010120101 in words is "two hundred two trillion, one hundred twenty-two billion, ten million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 37 67 71 111 201 213 2479 2627 4757 6073 7437 7881 14271 18219 63031 176009 189093 224701 406891 431183 528027 674103 1220673 1293549 2332147 4223077 4475201 6996441 12669231 13425603 15054967 15953771 28889261 45164901 47861313 86667783 156253849 165582437 299838467 382787263 468761547 496747311 899515401 1068902657 1148361789 3206707971 11094023279 14163128731 25646746621 27177895673 33282069837 42489386193 76940239863 81533687019 948929624977 1005582139901 1820919010091 2846788874931 3016746419703 5462757030273 67374003373367 202122010120101