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101022002221101 = 31329437172043163
BaseRepresentation
bin10110111110000100000100…
…100011101001000000101101
3111020200121110000210121000120
4112332010010203221000231
5101220121030032033401
6554504511145115153
730164412250530423
oct2676040443510055
9436617400717016
10101022002221101
112a209210685475
12b3b68a8188ab9
13444a445860710
141ad36c3417113
15ba2c32952836
hex5be1048e902d

101022002221101 has 32 divisors (see below), whose sum is σ = 150062713503360. Its totient is φ = 60022280634624.

The previous prime is 101022002221097. The next prime is 101022002221111. The reversal of 101022002221101 is 101122200220101.

It is not a de Polignac number, because 101022002221101 - 22 = 101022002221097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022002221111) 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, 48422346 + ... + 50465508.

It is an arithmetic number, because the mean of its divisors is an integer number (4689459796980).

Almost surely, 2101022002221101 is an apocalyptic number.

It is an amenable number.

101022002221101 is a deficient number, since it is larger than the sum of its proper divisors (49040711282259).

101022002221101 is a wasteful number, since it uses less digits than its factorization.

101022002221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086925.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022002221101 its reverse (101122200220101), we get a palindrome (202144202441202).

The spelling of 101022002221101 in words is "one hundred one trillion, twenty-two billion, two million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 13 29 39 87 377 1131 43717 131151 568321 1267793 1704963 2043163 3803379 6129489 16481309 26561119 49443927 59251727 79683357 177755181 770272451 2310817353 89320956871 267962870613 1161172439323 2590307749259 3483517317969 7770923247777 33674000740367 101022002221101