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10100020120120 = 23573743140916091
BaseRepresentation
bin1001001011111001100000…
…0111001000101000111000
31022202112220202201210200201
42102332120013020220320
52310434320122320440
633251515111211544
72061462625342120
oct222763007105070
938675822653621
1010100020120120
113244438061717
121171550376bb4
13583573b90c58
1426cbb4b09c80
15127ad0d0419a
hex92f981c8a38

10100020120120 has 256 divisors, whose sum is σ = 27314792524800. Its totient is φ = 3288377917440.

The previous prime is 10100020120103. The next prime is 10100020120147. The reversal of 10100020120120 is 2102102000101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100020120097 and 10100020120106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627673275 + ... + 627689365.

It is an arithmetic number, because the mean of its divisors is an integer number (106698408300).

Almost surely, 210100020120120 is an apocalyptic number.

10100020120120 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 10100020120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657396262400).

10100020120120 is an abundant number, since it is smaller than the sum of its proper divisors (17214772404680).

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

10100020120120 is a wasteful number, since it uses less digits than its factorization.

10100020120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17598 (or 17594 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100020120120 its reverse (2102102000101), we get a palindrome (12202122120221).

The spelling of 10100020120120 in words is "ten trillion, one hundred billion, twenty million, one hundred twenty thousand, one hundred twenty".