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102010220020200 = 233522329541471161
BaseRepresentation
bin10111001100011100011010…
…111011011000000111101000
3111101012002012121221012100110
4113030130122323120013220
5101332313412311121300
61000542503110134320
730325665230321502
oct2714343273300750
9441162177835313
10102010220020200
112a55a322889448
12b5363203513a0
1344bc6a3b4143b
141b2946cb38d72
15bbd7beb1b550
hex5cc71aed81e8

102010220020200 has 384 divisors, whose sum is σ = 341991241516800. Its totient is φ = 25076265984000.

The previous prime is 102010220020141. The next prime is 102010220020201. The reversal of 102010220020200 is 2020022010201.

102010220020200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020102200202002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102010220020201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216272620 + ... + 216743780.

It is an arithmetic number, because the mean of its divisors is an integer number (890602191450).

Almost surely, 2102010220020200 is an apocalyptic number.

102010220020200 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 102010220020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170995620758400).

102010220020200 is an abundant number, since it is smaller than the sum of its proper divisors (239981021496600).

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

102010220020200 is a wasteful number, since it uses less digits than its factorization.

102010220020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471773 (or 471764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102010220020200 its reverse (2020022010201), we get a palindrome (104030242030401).

The spelling of 102010220020200 in words is "one hundred two trillion, ten billion, two hundred twenty million, twenty thousand, two hundred".