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102110212011200 = 26521923930234649
BaseRepresentation
bin10111001101111001100010…
…111010100011010011000000
3111101112122022020111122022112
4113031321202322203103000
5101340433203233324300
61001100441145354452
730336135146242241
oct2715714272432300
9441478266448275
10102110212011200
112a598774744238
12b551787498a28
1344c8c4aaa8613
141b30236ab2cc8
15bc11c32c2e35
hex5cde62ea34c0

102110212011200 has 336 divisors, whose sum is σ = 265730492160000. Its totient is φ = 38511462850560.

The previous prime is 102110212011127. The next prime is 102110212011209. The reversal of 102110212011200 is 2110212011201.

It is not an unprimeable number, because it can be changed into a prime (102110212011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21963906476 + ... + 21963911124.

It is an arithmetic number, because the mean of its divisors is an integer number (790864560000).

Almost surely, 2102110212011200 is an apocalyptic number.

102110212011200 is a gapful number since it is divisible by the number (10) 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 102110212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132865246080000).

102110212011200 is an abundant number, since it is smaller than the sum of its proper divisors (163620280148800).

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

102110212011200 is a wasteful number, since it uses less digits than its factorization.

102110212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7937 counting only the distinct ones).

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

Adding to 102110212011200 its reverse (2110212011201), we get a palindrome (104220424022401).

Subtracting from 102110212011200 its reverse (2110212011201), we obtain a palindrome (99999999999999).

It can be divided in two parts, 10211021 and 2011200, that added together give a palindrome (12222221).

The spelling of 102110212011200 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, eleven thousand, two hundred".