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12101210010 = 23251937193991
BaseRepresentation
bin10110100010100100…
…11100111110011010
31011020100120011101100
423101102130332122
5144240402210020
65320442532230
7605610405441
oct132122347632
934210504340
1012101210010
11514a8aa20a
122418807076
1311ab10ccc6
1482b245d58
154ac5b3a90
hex2d149cf9a

12101210010 has 192 divisors, whose sum is σ = 34224952320. Its totient is φ = 2956124160.

The previous prime is 12101209997. The next prime is 12101210021. The reversal of 12101210010 is 1001210121.

It is a happy number.

It is a super-2 number, since 2×121012100102 (a number of 21 digits) contains 22 as substring.

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 = 12101209974 and 12101210001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12210615 + ... + 12211605.

It is an arithmetic number, because the mean of its divisors is an integer number (178254960).

Almost surely, 212101210010 is an apocalyptic number.

12101210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112476160).

12101210010 is an abundant number, since it is smaller than the sum of its proper divisors (22123742310).

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

12101210010 is a wasteful number, since it uses less digits than its factorization.

12101210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12101210010 its reverse (1001210121), we get a palindrome (13102420131).

It can be divided in two parts, 12101 and 210010, that added together give a triangular number (222111 = T666).

The spelling of 12101210010 in words is "twelve billion, one hundred one million, two hundred ten thousand, ten".