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1020212121201 = 371337757313337
BaseRepresentation
bin11101101100010010110…
…00011000111001110001
310121112100100002120022120
432312021120120321301
5113203343300334301
62100402354224453
7133464543643050
oct16661130307161
93545310076276
101020212121201
11363740166799
12145882b85129
13752898b2980
1437542988397
151b810e32e36
hexed89618e71

1020212121201 has 64 divisors (see below), whose sum is σ = 1719798732288. Its totient is φ = 523481315328.

The previous prime is 1020212121167. The next prime is 1020212121221. The reversal of 1020212121201 is 1021212120201.

1020212121201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020212121201 - 29 = 1020212120689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020212121221) 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, 76488205 + ... + 76501541.

It is an arithmetic number, because the mean of its divisors is an integer number (26871855192).

Almost surely, 21020212121201 is an apocalyptic number.

It is an amenable number.

1020212121201 is a deficient number, since it is larger than the sum of its proper divisors (699586611087).

1020212121201 is a wasteful number, since it uses less digits than its factorization.

1020212121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20970.

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

Adding to 1020212121201 its reverse (1021212120201), we get a palindrome (2041424241402).

It can be divided in two parts, 102021 and 2121201, that added together give a palindrome (2223222).

The spelling of 1020212121201 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 7573 10101 13337 22719 40011 53011 93359 98449 159033 173381 280077 280201 295347 493469 520143 689143 840603 1213667 1480407 1961407 2067429 3454283 3641001 3642613 5884221 6415097 10362849 10927839 19245291 25498291 44905679 76494873 101001101 134717037 303003303 707007707 1313014313 2121023121 3737040737 3939042939 9191100191 11211122211 26159285159 27573300573 48581529581 78477855477 145744588743 340070707067 1020212121201