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100121211102 = 231117142762533
BaseRepresentation
bin101110100111110110…
…0000111000011011110
3100120102121201111121210
41131033230013003132
53120022012223402
6113554533005250
710143045152433
oct1351754070336
9316377644553
10100121211102
11395088a4870
12174a2483826
13959796b9a3
144bbb1b3b8a
15290ebce06c
hex174fb070de

100121211102 has 64 divisors (see below), whose sum is σ = 231461846784. Its totient is φ = 28534602240.

The previous prime is 100121211101. The next prime is 100121211107. The reversal of 100121211102 is 201112121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121211101) 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, 1569828 + ... + 1632360.

It is an arithmetic number, because the mean of its divisors is an integer number (3616591356).

Almost surely, 2100121211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115730923392).

100121211102 is an abundant number, since it is smaller than the sum of its proper divisors (131340635682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121211102 is a wasteful number, since it uses less digits than its factorization.

100121211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63993.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121211102 its reverse (201112121001), we get a palindrome (301233332103).

The spelling of 100121211102 in words is "one hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1427 2854 4281 8562 15697 24259 31394 47091 48518 62533 72777 94182 125066 145554 187599 266849 375198 533698 687863 800547 1063061 1375726 1601094 2063589 2126122 3189183 4127178 6378366 11693671 23387342 35081013 70162026 89234591 178469182 267703773 535407546 981580501 1516988047 1963161002 2944741503 3033976094 4550964141 5889483006 9101928282 16686868517 33373737034 50060605551 100121211102