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101220022101 = 31137331250451
BaseRepresentation
bin101111001000100101…
…1101111011101010101
3100200021012022212221110
41132101023233131111
53124244311201401
6114255544205233
710212216664152
oct1362113573525
9320235285843
10101220022101
1139a22077830
121774a469819
1397114c4403
144c830c3229
1529763cc9d6
hex17912ef755

101220022101 has 32 divisors (see below), whose sum is σ = 151665716736. Its totient is φ = 59506920000.

The previous prime is 101220022097. The next prime is 101220022177.

101220022101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101220022101 - 22 = 101220022097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220022181) 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, 278926 + ... + 529376.

It is an arithmetic number, because the mean of its divisors is an integer number (4739553648).

Almost surely, 2101220022101 is an apocalyptic number.

101220022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101220022101 is a deficient number, since it is larger than the sum of its proper divisors (50445694635).

101220022101 is a wasteful number, since it uses less digits than its factorization.

101220022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250833.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1012200 and 22101, that added together give a palindrome (1034301).

The spelling of 101220022101 in words is "one hundred one billion, two hundred twenty million, twenty-two thousand, one hundred one".

Divisors: 1 3 11 33 37 111 331 407 993 1221 3641 10923 12247 36741 134717 250451 404151 751353 2754961 8264883 9266687 27800061 82899281 101933557 248697843 305800671 911892091 2735676273 3067273397 9201820191 33740007367 101220022101