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121201000112101 = 713191373160111677
BaseRepresentation
bin11011100011101101001110…
…100011101101111111100101
3120220010200222002101002210211
4123203231032203231333211
5111341224122012041401
61105434545405215421
734346324524536010
oct3343551643557745
9526120862332724
10121201000112101
1135689067950328
1211715695861571
135282288c90890
1421d0234334377
15e02ab2045951
hex6e3b4e8edfe5

121201000112101 has 64 divisors (see below), whose sum is σ = 150460269797376. Its totient is φ = 95069915136000.

The previous prime is 121201000112083. The next prime is 121201000112107. The reversal of 121201000112101 is 101211000102121.

It is a happy number.

It is not a de Polignac number, because 121201000112101 - 225 = 121200966557669 is a prime.

It is a super-2 number, since 2×1212010001121012 (a number of 29 digits) contains 22 as substring.

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 (121201000112107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10379458075 + ... + 10379469751.

It is an arithmetic number, because the mean of its divisors is an integer number (2350941715584).

Almost surely, 2121201000112101 is an apocalyptic number.

It is an amenable number.

121201000112101 is a deficient number, since it is larger than the sum of its proper divisors (29259269685275).

121201000112101 is a wasteful number, since it uses less digits than its factorization.

121201000112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121201000112101 its reverse (101211000102121), we get a palindrome (222412000214222).

The spelling of 121201000112101 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twelve thousand, one hundred one".

Divisors: 1 7 13 91 191 373 1337 1601 2483 2611 4849 11207 11677 17381 20813 33943 71243 81739 145691 151801 305791 498701 597173 926159 1062607 2140537 2230307 3975283 4180211 4355521 6483113 7763249 15612149 18694877 27826981 28993991 30488647 54342743 56621773 114060043 130864139 202957937 243033401 396352411 798420301 831904511 1482780559 1701233807 3570721507 5823331577 6973189121 10379463913 10814758643 24995050549 46419379591 48812323847 75703310501 90651458573 324935657137 634560210011 1331879122111 9323153854777 17314428587443 121201000112101