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100100220111221 = 1126974933735139
BaseRepresentation
bin10110110000101001100110…
…000011111100100101110101
3111010102111011110010200100212
4112300221212003330211311
5101110020222322024341
6552521223431315205
730041000525056361
oct2660514603744565
9433374143120325
10100100220111221
11299932a0711080
12b28811521bb05
1343b15444318c5
141aa0c3b1ac2a1
15b88c82ed75eb
hex5b0a660fc975

100100220111221 has 8 divisors (see below), whose sum is σ = 109200648180000. Its totient is φ = 90999860052240.

The previous prime is 100100220111197. The next prime is 100100220111239. The reversal of 100100220111221 is 122111022001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100100220111221 is a prime.

It is a super-2 number, since 2×1001002201112212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100220111196 and 100100220111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100220111271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13900331 + ... + 19834808.

It is an arithmetic number, because the mean of its divisors is an integer number (13650081022500).

Almost surely, 2100100220111221 is an apocalyptic number.

100100220111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100220111221 is a deficient number, since it is larger than the sum of its proper divisors (9100428068779).

100100220111221 is a wasteful number, since it uses less digits than its factorization.

100100220111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004899.

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

Adding to 100100220111221 its reverse (122111022001001), we get a palindrome (222211242112222).

The spelling of 100100220111221 in words is "one hundred trillion, one hundred billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 269749 2967239 33735139 371086529 9100020010111 100100220111221