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101210211201 = 311110916571669
BaseRepresentation
bin101111001000010011…
…0010100001110000001
3100200020111212102220210
41132100212110032001
53124234303224301
6114254554024333
710212040413021
oct1362046241601
9320214772823
10101210211201
1139a17586750
12177471180a9
13970c46a948
144c81a8ba81
1529755e0ad6
hex1790994381

101210211201 has 32 divisors (see below), whose sum is σ = 147524860800. Its totient is φ = 61210529280.

The previous prime is 101210211197. The next prime is 101210211209. The reversal of 101210211201 is 102112012101.

It is not a de Polignac number, because 101210211201 - 22 = 101210211197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101210211209) 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, 60640395 + ... + 60642063.

It is an arithmetic number, because the mean of its divisors is an integer number (4610151900).

Almost surely, 2101210211201 is an apocalyptic number.

101210211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101210211201 is a deficient number, since it is larger than the sum of its proper divisors (46314649599).

101210211201 is a wasteful number, since it uses less digits than its factorization.

101210211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101210211201 its reverse (102112012101), we get a palindrome (203322223302).

Subtracting 101210211201 from its reverse (102112012101), we obtain a square (901800900 = 300302).

The spelling of 101210211201 in words is "one hundred one billion, two hundred ten million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 11 33 1109 1657 1669 3327 4971 5007 12199 18227 18359 36597 54681 55077 1837613 1850921 2765533 5512839 5552763 8296599 20213743 20360131 30420863 60641229 61080393 91262589 3066976097 9200928291 33736737067 101210211201