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102012020010000 = 24325413122572
BaseRepresentation
bin10111001100011110000110…
…001101110010110000010000
3111101012020212001221011011100
4113030132012031302300100
5101332331104110310000
61000543401450144400
730326060645064252
oct2714360615626020
9441166761834140
10102012020010000
112a560066936421
12b536743122100
1344bc8cca29969
141b2959dc0bcd2
15bbd877b71a00
hex5cc786372c10

102012020010000 has 675 divisors, whose sum is σ = 360899101298593. Its totient is φ = 26890506240000.

The previous prime is 102012020009989. The next prime is 102012020010023. The reversal of 102012020010000 is 10020210201.

The square root of 102012020010000 is 10100100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 16106705315856 + 85905314694144 = 4013316^2 + 9268512^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 396933929872 + ... + 396933930128.

Almost surely, 2102012020010000 is an apocalyptic number.

102012020010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012020010000 is the 10100100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012020010000

102012020010000 is an abundant number, since it is smaller than the sum of its proper divisors (258887081288593).

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

102012020010000 is an frugal number, since it uses more digits than its factorization.

102012020010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012020010000 its reverse (10020210201), we get a palindrome (102022040220201).

The spelling of 102012020010000 in words is "one hundred two trillion, twelve billion, twenty million, ten thousand".