Search a number
-
+
101210022121 = 1317228395191
BaseRepresentation
bin101111001000010010…
…1100110000011101001
3100200020111111211112211
41132100211212003221
53124234231201441
6114254550005121
710212035664535
oct1362045460351
9320214454484
10101210022121
1139a1746768a
12177470467a1
13970c402870
144c81a3cbc5
1529755a4a81
hex17909660e9

101210022121 has 24 divisors (see below), whose sum is σ = 116194401344. Its totient is φ = 87617445120.

The previous prime is 101210022119. The next prime is 101210022139. The reversal of 101210022121 is 121220012101.

It is not a de Polignac number, because 101210022121 - 21 = 101210022119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101210022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015636 + ... + 1110826.

Almost surely, 2101210022121 is an apocalyptic number.

It is an amenable number.

101210022121 is a deficient number, since it is larger than the sum of its proper divisors (14984379223).

101210022121 is a wasteful number, since it uses less digits than its factorization.

101210022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95521 (or 95504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101210022121 its reverse (121220012101), we get a palindrome (222430034222).

The spelling of 101210022121 in words is "one hundred one billion, two hundred ten million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 13 17 221 283 289 3679 3757 4811 62543 81787 95191 1063231 1237483 1618247 21037211 26939053 27510199 350207689 357632587 457963901 5953530713 7785386317 101210022121