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102212120101 = 71317138147843
BaseRepresentation
bin101111100110001010…
…0010010111000100101
3100202211100010200112211
41133030110102320211
53133312300320401
6114542224243421
710245624454150
oct1371424227045
9322740120484
10102212120101
113a391093733
1217986770571
13983bbc5950
144d38b74c97
1529d354c951
hex17cc512e25

102212120101 has 32 divisors (see below), whose sum is σ = 133298742528. Its totient is φ = 76057297920.

The previous prime is 102212120081. The next prime is 102212120159. The reversal of 102212120101 is 101021212201.

It is a cyclic number.

It is not a de Polignac number, because 102212120101 - 211 = 102212118053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212120161) 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, 2112486 + ... + 2160328.

It is an arithmetic number, because the mean of its divisors is an integer number (4165585704).

Almost surely, 2102212120101 is an apocalyptic number.

It is an amenable number.

102212120101 is a deficient number, since it is larger than the sum of its proper divisors (31086622427).

102212120101 is a wasteful number, since it uses less digits than its factorization.

102212120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49261.

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

Adding to 102212120101 its reverse (101021212201), we get a palindrome (203233332302).

The spelling of 102212120101 in words is "one hundred two billion, two hundred twelve million, one hundred twenty thousand, one hundred one".

Divisors: 1 7 13 17 91 119 221 1381 1547 9667 17953 23477 47843 125671 164339 305201 334901 621959 813331 2136407 4353713 5693317 10573303 66071183 74013121 462498281 858925379 1123210111 6012477653 7862470777 14601731443 102212120101