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101011120200221 = 71117531455974173
BaseRepresentation
bin10110111101111001111011…
…111100000001101000011101
3111020122120100122100122201012
4112331321323330001220131
5101214431233232401341
6554455511253425005
730163545503061140
oct2675717374015035
9436576318318635
10101011120200221
112a204636aa9090
12b3b476b93b165
1344494002031ca
141ad2d70098057
15ba27e741a0eb
hex5bde7bf01a1d

101011120200221 has 32 divisors (see below), whose sum is σ = 135859862124288. Its totient is φ = 72682230666240.

The previous prime is 101011120200169. The next prime is 101011120200233. The reversal of 101011120200221 is 122002021110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101011120200221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011120200196 and 101011120200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011120200251) 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, 727917710 + ... + 728056463.

It is an arithmetic number, because the mean of its divisors is an integer number (4245620691384).

Almost surely, 2101011120200221 is an apocalyptic number.

101011120200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011120200221 is a deficient number, since it is larger than the sum of its proper divisors (34848741924067).

101011120200221 is a wasteful number, since it uses less digits than its factorization.

101011120200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455974261.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011120200221 its reverse (122002021110101), we get a palindrome (223013141310322).

The spelling of 101011120200221 in words is "one hundred one trillion, eleven billion, one hundred twenty million, two hundred thousand, two hundred twenty-one".

Divisors: 1 7 11 17 53 77 119 187 371 583 901 1309 4081 6307 9911 69377 1455974173 10191819211 16015715903 24751560941 77166631169 112110011321 173260926587 272267170351 540166418183 848832942859 1311832729873 1905870192457 5941830600013 9182829109111 14430160028603 101011120200221