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101020121301 = 311234717316369
BaseRepresentation
bin101111000010101000…
…1001011100011010101
3100122202021011212121010
41132011101023203111
53123342122340201
6114224043442433
710204241602041
oct1360521134325
9318667155533
10101020121301
113992a252360
12176b3526419
1396abc73308
144c64729021
152963a92bd6
hex178544b8d5

101020121301 has 64 divisors (see below), whose sum is σ = 157504020480. Its totient is φ = 56981591040.

The previous prime is 101020121261. The next prime is 101020121317. The reversal of 101020121301 is 103121020101.

It is not a de Polignac number, because 101020121301 - 211 = 101020119253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020121401) 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, 6163245 + ... + 6179613.

It is an arithmetic number, because the mean of its divisors is an integer number (2461000320).

Almost surely, 2101020121301 is an apocalyptic number.

101020121301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020121301 is a deficient number, since it is larger than the sum of its proper divisors (56483899179).

101020121301 is a wasteful number, since it uses less digits than its factorization.

101020121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16626.

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

Adding to 101020121301 its reverse (103121020101), we get a palindrome (204141141402).

The spelling of 101020121301 in words is "one hundred one billion, twenty million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 3 11 23 33 47 69 141 173 253 517 519 759 1081 1551 1903 3243 3979 5709 8131 11891 11937 16369 24393 35673 43769 49107 89441 131307 180059 187013 268323 376487 540177 561039 769343 1129461 2057143 2308029 2831837 4141357 6171429 8462773 8495511 12424071 17694889 25388319 31150207 53084667 65132251 93450621 133096339 194643779 195396753 399289017 583931337 716454761 1464059729 2149364283 3061215797 4392179187 9183647391 33673373767 101020121301