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101221001101122 = 237173123711261741
BaseRepresentation
bin10111000000111101011001…
…110100000111111101000010
3111021101122002121022010002020
4113000331121310013331002
5101231401102240213442
6555140141433502310
730214655524230330
oct2700753164077502
9437348077263066
10101221001101122
112a285649328391
12b429384571996
13446313a63c9b6
141add1a0578b50
15ba7ecd0739ec
hex5c0f59d07f42

101221001101122 has 64 divisors (see below), whose sum is σ = 232887779299584. Its totient is φ = 28729869960960.

The previous prime is 101221001101063. The next prime is 101221001101123. The reversal of 101221001101122 is 221101100122101.

It is a happy number.

It is a super-2 number, since 2×1012210011011222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221001101123) 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, 3357172 + ... + 14618912.

It is an arithmetic number, because the mean of its divisors is an integer number (3638871551556).

Almost surely, 2101221001101122 is an apocalyptic number.

101221001101122 is an abundant number, since it is smaller than the sum of its proper divisors (131666778198462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221001101122 is a wasteful number, since it uses less digits than its factorization.

101221001101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263163.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221001101122 its reverse (221101100122101), we get a palindrome (322322101223223).

The spelling of 101221001101122 in words is "one hundred one trillion, two hundred twenty-one billion, one million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 173 346 519 1038 1211 1237 2422 2474 3633 3711 7266 7422 8659 17318 25977 51954 214001 428002 642003 1284006 1498007 2996014 4494021 8988042 11261741 22523482 33785223 67570446 78832187 157664374 236496561 472993122 1948281193 3896562386 5844843579 11689687158 13637968351 13930773617 27275936702 27861547234 40913905053 41792320851 81827810106 83584641702 97515415319 195030830638 292546245957 585092491914 2410023835741 4820047671482 7230071507223 14460143014446 16870166850187 33740333700374 50610500550561 101221001101122