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122101011021 = 31117317020931
BaseRepresentation
bin111000110110111001…
…0011001001001001101
3102200011102121000210110
41301231302121021031
54000030324323041
6132031544230233
711551530316653
oct1615562311115
9380142530713
10122101011021
1147867923870
121b7b746b379
13b68b56a462
145ca43b6dd3
15329966c516
hex1c6dc9924d

122101011021 has 32 divisors (see below), whose sum is σ = 194114727936. Its totient is φ = 67400928000.

The previous prime is 122101011013. The next prime is 122101011049. The reversal of 122101011021 is 120110101221.

It is not a de Polignac number, because 122101011021 - 23 = 122101011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122101010988 and 122101011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101011061) 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 31 ways as a sum of consecutive naturals, for example, 3493075 + ... + 3527856.

It is an arithmetic number, because the mean of its divisors is an integer number (6066085248).

Almost surely, 2122101011021 is an apocalyptic number.

122101011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101011021 is a deficient number, since it is larger than the sum of its proper divisors (72013716915).

122101011021 is a wasteful number, since it uses less digits than its factorization.

122101011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020993.

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

Adding to 122101011021 its reverse (120110101221), we get a palindrome (242211112242).

The spelling of 122101011021 in words is "one hundred twenty-two billion, one hundred one million, eleven thousand, twenty-one".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1581 5797 17391 7020931 21062793 77230241 119355827 217648861 231690723 358067481 652946583 1312914097 2394137471 3700030637 3938742291 7182412413 11100091911 40700337007 122101011021