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10012210021220 = 225111741641101863
BaseRepresentation
bin1001000110110010011000…
…1110001100001101100100
31022110011021010112121010112
42101230212032030031210
52303020001231134340
633143313520112152
72052233616663641
oct221544616141544
938404233477115
1010012210021220
1132101775a2750
121158524a65658
135781bb975754
142688449badc8
15125691d4c065
hex91b2638c364

10012210021220 has 192 divisors, whose sum is σ = 24917707648512. Its totient is φ = 3337814016000.

The previous prime is 10012210021217. The next prime is 10012210021241. The reversal of 10012210021220 is 2212001221001.

It is a junction number, because it is equal to n+sod(n) for n = 10012210021195 and 10012210021204.

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, 98240009 + ... + 98341871.

It is an arithmetic number, because the mean of its divisors is an integer number (129779727336).

Almost surely, 210012210021220 is an apocalyptic number.

10012210021220 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 10012210021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458853824256).

10012210021220 is an abundant number, since it is smaller than the sum of its proper divisors (14905497627292).

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

10012210021220 is a wasteful number, since it uses less digits than its factorization.

10012210021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102582 (or 102580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10012210021220 its reverse (2212001221001), we get a palindrome (12224211242221).

The spelling of 10012210021220 in words is "ten trillion, twelve billion, two hundred ten million, twenty-one thousand, two hundred twenty".