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10021001200000 = 2755710133533
BaseRepresentation
bin1001000111010011001000…
…1101111000000110000000
31022110222221210200202021121
42101310302031320012000
52303141002301400000
633151330121402024
72052664515530530
oct221646215700600
938428853622247
1010021001200000
113213978a2645a
12115a179039314
13578c900a059b
1426903a3954c0
15125a08a2ab1a
hex91d32378180

10021001200000 has 384 divisors, whose sum is σ = 28553996802240. Its totient is φ = 3431408640000.

The previous prime is 10021001199977. The next prime is 10021001200009. The reversal of 10021001200000 is 210012001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021001200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2836398234 + ... + 2836401766.

Almost surely, 210021001200000 is an apocalyptic number.

10021001200000 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 10021001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276998401120).

10021001200000 is an abundant number, since it is smaller than the sum of its proper divisors (18532995602240).

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

10021001200000 is an frugal number, since it uses more digits than its factorization.

10021001200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10021001200000 its reverse (210012001), we get a palindrome (10021211212001).

The spelling of 10021001200000 in words is "ten trillion, twenty-one billion, one million, two hundred thousand".