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1022011100201 = 713179563111443
BaseRepresentation
bin11101101111101001001…
…10111100110000101001
310121200222201012011120102
432313310212330300221
5113221034320201301
62101301100435145
7133560250005560
oct16676446746051
93550881164512
101022011100201
113644836932a3
121460a5548ab5
13754b55060a0
1437673876bd7
151b8b8d38b6b
hexedf49bcc29

1022011100201 has 32 divisors (see below), whose sum is σ = 1267145026560. Its totient is φ = 802671257664.

The previous prime is 1022011100197. The next prime is 1022011100213. The reversal of 1022011100201 is 1020011102201.

It is a cyclic number.

It is not a de Polignac number, because 1022011100201 - 22 = 1022011100197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022011100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9114986 + ... + 9226428.

It is an arithmetic number, because the mean of its divisors is an integer number (39598282080).

Almost surely, 21022011100201 is an apocalyptic number.

It is an amenable number.

1022011100201 is a deficient number, since it is larger than the sum of its proper divisors (245133926359).

1022011100201 is a wasteful number, since it uses less digits than its factorization.

1022011100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112205.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022011100201 its reverse (1020011102201), we get a palindrome (2042022202402).

The spelling of 1022011100201 in words is "one trillion, twenty-two billion, eleven million, one hundred thousand, two hundred one".

Divisors: 1 7 13 91 179 563 1253 2327 3941 7319 16289 51233 100777 111443 705439 780101 1310101 1448759 9170707 10141313 19948297 62742409 139638079 259327861 439196863 815651317 1815295027 5709559219 11230891211 78616238477 146001585743 1022011100201