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10212121002120 = 233597238923251
BaseRepresentation
bin1001010010011011000111…
…0110000100000010001000
31100011021021021022122101020
42110212301312010002020
52314303410434031440
633415214510152440
72102541610202022
oct224466166040210
940137237278336
1010212121002120
113287a33092544
12118b2167b2720
13590cca6c72ab
142743aad29012
1512a99258a3d0
hex949b1d84088

10212121002120 has 192 divisors, whose sum is σ = 31036369665600. Its totient is φ = 2688113664000.

The previous prime is 10212121002119. The next prime is 10212121002121. The reversal of 10212121002120 is 2120012121201.

It is an interprime number because it is at equal distance from previous prime (10212121002119) and next prime (10212121002121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212121002120.

It is not an unprimeable number, because it can be changed into a prime (10212121002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439200495 + ... + 439223745.

It is an arithmetic number, because the mean of its divisors is an integer number (161647758675).

Almost surely, 210212121002120 is an apocalyptic number.

10212121002120 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 10212121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518184832800).

10212121002120 is an abundant number, since it is smaller than the sum of its proper divisors (20824248663480).

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

10212121002120 is a wasteful number, since it uses less digits than its factorization.

10212121002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23848 (or 23747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212121002120 its reverse (2120012121201), we get a palindrome (12332133123321).

The spelling of 10212121002120 in words is "ten trillion, two hundred twelve billion, one hundred twenty-one million, two thousand, one hundred twenty".