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101112100111221 = 31133834631681991
BaseRepresentation
bin10110111111010111111110…
…110011110100001101110101
3111021000020000002212122010220
4112333113332303310031311
5101223110040112024341
6555014131343404553
730204052046131053
oct2677277663641565
9437006002778126
10101112100111221
112a243445586891
12b4102518b3759
134455aa3a38034
141ad7bcd3171d3
15ba52576b8a66
hex5bf5fecf4375

101112100111221 has 32 divisors (see below), whose sum is σ = 136658916605952. Its totient is φ = 66493128387840.

The previous prime is 101112100111193. The next prime is 101112100111223. The reversal of 101112100111221 is 122111001211101.

It is not a de Polignac number, because 101112100111221 - 213 = 101112100103029 is a prime.

It is a super-2 number, since 2×1011121001112212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101112100111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112100111223) 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, 59273536 + ... + 60955526.

It is an arithmetic number, because the mean of its divisors is an integer number (4270591143936).

Almost surely, 2101112100111221 is an apocalyptic number.

It is an amenable number.

101112100111221 is a deficient number, since it is larger than the sum of its proper divisors (35546816494731).

101112100111221 is a wasteful number, since it uses less digits than its factorization.

101112100111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682953.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101112100111221 its reverse (122111001211101), we get a palindrome (223223101322322).

The spelling of 101112100111221 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 113 339 383 463 1149 1389 43279 52319 129837 156957 177329 531987 1681991 5045973 20038177 60114531 190064983 570194949 644202553 778761833 1932607659 2336285499 72794888489 88000087129 218384665467 264000261387 298265782039 894797346117 33704033370407 101112100111221