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101020120201 = 71113631115991
BaseRepresentation
bin101111000010101000…
…1001011010010001001
3100122202021011211002101
41132011101023102021
53123342122321301
6114224043433401
710204241565610
oct1360521132211
9318667154071
10101020120201
113992a251550
12176b3525861
1396abc72970
144c64728877
152963a92701
hex178544b489

101020120201 has 32 divisors (see below), whose sum is σ = 135665381376. Its totient is φ = 72645768000.

The previous prime is 101020120181. The next prime is 101020120217. The reversal of 101020120201 is 102021020101.

It is not a de Polignac number, because 101020120201 - 25 = 101020120169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101020120501) 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, 6309316 + ... + 6325306.

It is an arithmetic number, because the mean of its divisors is an integer number (4239543168).

Almost surely, 2101020120201 is an apocalyptic number.

101020120201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020120201 is a deficient number, since it is larger than the sum of its proper divisors (34645261175).

101020120201 is a wasteful number, since it uses less digits than its factorization.

101020120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22333.

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

Adding to 101020120201 its reverse (102021020101), we get a palindrome (203041140302).

The spelling of 101020120201 in words is "one hundred one billion, twenty million, one hundred twenty thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 1001 6311 15991 44177 69421 82043 111937 175901 207883 485947 574301 902473 1231307 1455181 2286713 6317311 16006991 100919201 706434407 1110111211 1311949613 7770778477 9183647291 14431445743 101020120201