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21101011010112 = 26311197313752579
BaseRepresentation
bin1001100110000111101100…
…10001000000001001000000
32202201020101201220220112110
410303003312101000021000
510231204332304310422
6112513400505055320
74305332503134525
oct463036621001100
982636351826473
1021101011010112
1167a5985681980
122449625a87540
13ba0a80682737
1452d419adb14c
15268d4449060c
hex1330f6440240

21101011010112 has 448 divisors, whose sum is σ = 65464573363200. Its totient is φ = 5931000299520.

The previous prime is 21101011010081. The next prime is 21101011010137.

21101011010112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401293839 + ... + 401346417.

Almost surely, 221101011010112 is an apocalyptic number.

21101011010112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32732286681600).

21101011010112 is an abundant number, since it is smaller than the sum of its proper divisors (44363562353088).

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

21101011010112 is a wasteful number, since it uses less digits than its factorization.

21101011010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52834 (or 52824 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 2110101 and 1010112, that multiplied together give a palindrome (2131438341312).

The spelling of 21101011010112 in words is "twenty-one trillion, one hundred one billion, eleven million, ten thousand, one hundred twelve".