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10102100100120 = 23335717383320507
BaseRepresentation
bin1001001100000001010000…
…0101101000010000011000
31022202202021201120201212000
42103000110011220100120
52311003100111200440
633252501332321000
72061565313024550
oct223002405502030
938682251521760
1010102100100120
113245305166456
121171a30a73160
13583815a8c552
1426cd31064160
15127ba3714730
hex93014168418

10102100100120 has 512 divisors, whose sum is σ = 40760585164800. Its totient is φ = 2172551970816.

The previous prime is 10102100100061. The next prime is 10102100100121. The reversal of 10102100100120 is 2100100120101.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102100100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 492606907 + ... + 492627413.

It is an arithmetic number, because the mean of its divisors is an integer number (79610517900).

Almost surely, 210102100100120 is an apocalyptic number.

10102100100120 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 10102100100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20380292582400).

10102100100120 is an abundant number, since it is smaller than the sum of its proper divisors (30658485064680).

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

10102100100120 is a wasteful number, since it uses less digits than its factorization.

10102100100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24384 (or 24374 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102100100120 its reverse (2100100120101), we get a palindrome (12202200220221).

The spelling of 10102100100120 in words is "ten trillion, one hundred two billion, one hundred million, one hundred thousand, one hundred twenty".