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101212110021 = 31119379114789
BaseRepresentation
bin101111001000010110…
…1100011110011000101
3100200020122102220121110
41132100231203303011
53124240300010041
6114255102435233
710212062511651
oct1362055436305
9320218386543
10101212110021
1139a18663320
1217747892b19
13970c983cc9
144c82023a61
152975868516
hex1790b63cc5

101212110021 has 64 divisors (see below), whose sum is σ = 159362150400. Its totient is φ = 56467756800.

The previous prime is 101212110019. The next prime is 101212110023. The reversal of 101212110021 is 120011212101.

It is an interprime number because it is at equal distance from previous prime (101212110019) and next prime (101212110023).

It is not a de Polignac number, because 101212110021 - 21 = 101212110019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212109979 and 101212110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21131895 + ... + 21136683.

It is an arithmetic number, because the mean of its divisors is an integer number (2490033600).

Almost surely, 2101212110021 is an apocalyptic number.

101212110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212110021 is a deficient number, since it is larger than the sum of its proper divisors (58150040379).

101212110021 is a wasteful number, since it uses less digits than its factorization.

101212110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770.

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

Adding to 101212110021 its reverse (120011212101), we get a palindrome (221223322122).

The spelling of 101212110021 in words is "one hundred one billion, two hundred twelve million, one hundred ten thousand, twenty-one".

Divisors: 1 3 11 19 33 37 57 111 209 407 627 703 911 1221 2109 2733 4789 7733 10021 14367 17309 23199 30063 33707 51927 52679 90991 101121 158037 177193 190399 272973 370777 531579 571197 640433 1000901 1112331 1921299 1949123 3002703 3366667 4362779 5847369 7044763 10100001 13088337 21134289 37033337 47990569 82892801 111100011 143971707 161422823 248678403 484268469 911820811 1775651053 2735462433 3067033637 5326953159 9201100911 33737370007 101212110021