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101121221201 = 71113432349307
BaseRepresentation
bin101111000101101001…
…0110110001001010001
3100200000022102021120212
41132023102312021101
53124044013034301
6114242054413505
710206610124660
oct1361322661121
9320008367525
10101121221201
11399813251a0
1217721361295
1396c6bb0640
144c73d24dd7
15296c8b34bb
hex178b4b6251

101121221201 has 32 divisors (see below), whose sum is σ = 138928677888. Its totient is φ = 71043013440.

The previous prime is 101121221197. The next prime is 101121221207. The reversal of 101121221201 is 102122121101.

It is not a de Polignac number, because 101121221201 - 22 = 101121221197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121221207) 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, 1131611 + ... + 1217696.

It is an arithmetic number, because the mean of its divisors is an integer number (4341521184).

Almost surely, 2101121221201 is an apocalyptic number.

101121221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121221201 is a deficient number, since it is larger than the sum of its proper divisors (37807456687).

101121221201 is a wasteful number, since it uses less digits than its factorization.

101121221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349381.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101121221201 its reverse (102122121101), we get a palindrome (203243342302).

It can be divided in two parts, 1011 and 21221201, that added together give a palindrome (21222212).

The spelling of 101121221201 in words is "one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 7 11 13 43 77 91 143 301 473 559 1001 3311 3913 6149 43043 2349307 16445149 25842377 30540991 101020201 180896639 213786937 335950901 707141407 1111222211 1313262613 2351656307 7778555477 9192838291 14445888743 101121221201