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10210101021120 = 263571113591011783
BaseRepresentation
bin1001010010010011100101…
…1100011100100111000000
31100011002001111100222101010
42110210321130130213000
52314240241330133440
633414242231040520
72102440551510420
oct224447134344700
940132044328333
1010210101021120
113287096938960
12118a952210140
13590a68075370
1427425894c480
1512a8c507c580
hex9493971c9c0

10210101021120 has 1792 divisors, whose sum is σ = 44726045736960. Its totient is φ = 1905057792000.

The previous prime is 10210101021101. The next prime is 10210101021151. The reversal of 10210101021120 is 2112010101201.

It is a super-2 number, since 2×102101010211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210101021096 and 10210101021105.

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 255 ways as a sum of consecutive naturals, for example, 5726359749 + ... + 5726361531.

It is an arithmetic number, because the mean of its divisors is an integer number (24958730880).

Almost surely, 210210101021120 is an apocalyptic number.

10210101021120 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 10210101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363022868480).

10210101021120 is an abundant number, since it is smaller than the sum of its proper divisors (34515944715840).

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

10210101021120 is a wasteful number, since it uses less digits than its factorization.

10210101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210101021120 its reverse (2112010101201), we get a palindrome (12322111122321).

The spelling of 10210101021120 in words is "ten trillion, two hundred ten billion, one hundred one million, twenty-one thousand, one hundred twenty".