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100021101111 = 32173753333367
BaseRepresentation
bin101110100100110111…
…0001110001000110111
3100120011122100101112100
41131021232032020313
53114320400213421
6113540555153143
710140421221531
oct1351156161067
9316148311470
10100021101111
1139467338738
1217474a457b3
13957ccba0c9
144babb94851
152906006c26
hex1749b8e237

100021101111 has 48 divisors (see below), whose sum is σ = 160072645824. Its totient is φ = 59909870592.

The previous prime is 100021101107. The next prime is 100021101127. The reversal of 100021101111 is 111101120001.

It is not a de Polignac number, because 100021101111 - 22 = 100021101107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100021101093 and 100021101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021101151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133350 + ... + 466716.

It is an arithmetic number, because the mean of its divisors is an integer number (3334846788).

Almost surely, 2100021101111 is an apocalyptic number.

100021101111 is a deficient number, since it is larger than the sum of its proper divisors (60051544713).

100021101111 is a wasteful number, since it uses less digits than its factorization.

100021101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333480 (or 333477 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100021101111 its reverse (111101120001), we get a palindrome (211122221112).

The spelling of 100021101111 in words is "one hundred billion, twenty-one million, one hundred one thousand, one hundred eleven".

Divisors: 1 3 9 17 37 51 53 111 153 159 333 477 629 901 1887 1961 2703 5661 5883 8109 17649 33337 100011 300033 333367 1000101 3000303 5667239 12334579 17001717 17668451 37003737 51005151 53005353 111011211 159016059 209687843 300363667 629063529 653732687 901091001 1887190587 1961198061 2703273003 5883594183 11113455679 33340367037 100021101111