Search a number
-
+
102021010201 = 112922710931289
BaseRepresentation
bin101111100000011101…
…1010001001100011001
3100202100000112022001101
41133000323101030121
53132414334311301
6114511240151401
710241114164345
oct1370073211431
9322300468041
10102021010201
113a2a3222a70
1217932768561
13980b431c76
144d1b628625
1529c189c701
hex17c0ed1319

102021010201 has 32 divisors (see below), whose sum is σ = 115836220800. Its totient is φ = 89003066880.

The previous prime is 102021010187. The next prime is 102021010367. The reversal of 102021010201 is 102010120201.

It is a cyclic number.

It is not a de Polignac number, because 102021010201 - 213 = 102021002009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021010801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79146765 + ... + 79148053.

It is an arithmetic number, because the mean of its divisors is an integer number (3619881900).

Almost surely, 2102021010201 is an apocalyptic number.

102021010201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102021010201 is a deficient number, since it is larger than the sum of its proper divisors (13815210599).

102021010201 is a wasteful number, since it uses less digits than its factorization.

102021010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102021010201 its reverse (102010120201), we get a palindrome (204031130402).

Subtracting from 102021010201 its reverse (102010120201), we obtain a square (10890000 = 33002).

The spelling of 102021010201 in words is "one hundred two billion, twenty-one million, ten thousand, two hundred one".

Divisors: 1 11 29 227 319 1093 1289 2497 6583 12023 14179 31697 37381 72413 248111 292603 348667 411191 1408877 2729221 3218633 7195219 8485487 15497647 40857433 79147409 93340357 319815079 449431763 3517965869 9274637291 102021010201