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10100202010120 = 2351924343337567
BaseRepresentation
bin1001001011111010001011…
…1100111111011000001000
31022202120101102222202212101
42102332202330333120020
52310440203203310440
633251545125523144
72061500264361505
oct222764274773010
938676342882771
1010100202010120
1132445207a5332
1211715a12734b4
135835a2777181
1426cbd0d364ac
15127ae1c8269a
hex92fa2f3f608

10100202010120 has 192 divisors, whose sum is σ = 24599595525120. Its totient is φ = 3729701541888.

The previous prime is 10100202010103. The next prime is 10100202010127. The reversal of 10100202010120 is 2101020200101.

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 = 10100202010097 and 10100202010106.

It is not an unprimeable number, because it can be changed into a prime (10100202010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268839577 + ... + 268877143.

It is an arithmetic number, because the mean of its divisors is an integer number (128122893360).

Almost surely, 210100202010120 is an apocalyptic number.

10100202010120 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 10100202010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299797762560).

10100202010120 is an abundant number, since it is smaller than the sum of its proper divisors (14499393515000).

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

10100202010120 is a wasteful number, since it uses less digits than its factorization.

10100202010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38092 (or 38069 counting only the distinct ones).

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

Adding to 10100202010120 its reverse (2101020200101), we get a palindrome (12201222210221).

The spelling of 10100202010120 in words is "ten trillion, one hundred billion, two hundred two million, ten thousand, one hundred twenty".