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1012222021100 = 225253691727611
BaseRepresentation
bin11101011101011010010…
…00100100110111101100
310120202201111022102112012
432232231020210313230
5113041012314133400
62053001450500352
7133062543134423
oct16565510446754
93522644272465
101012222021100
1136030aa40284
121442131346b8
13745b54279a4
1436dc573a2ba
151b4e4740d35
hexebad224dec

1012222021100 has 72 divisors (see below), whose sum is σ = 2238370203888. Its totient is φ = 397177580800.

The previous prime is 1012222021099. The next prime is 1012222021121. The reversal of 1012222021100 is 11202222101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36646295 + ... + 36673905.

It is an arithmetic number, because the mean of its divisors is an integer number (31088475054).

Almost surely, 21012222021100 is an apocalyptic number.

1012222021100 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 1012222021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119185101944).

1012222021100 is an abundant number, since it is smaller than the sum of its proper divisors (1226148182788).

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

1012222021100 is a wasteful number, since it uses less digits than its factorization.

1012222021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34595 (or 34588 counting only the distinct ones).

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

Adding to 1012222021100 its reverse (11202222101), we get a palindrome (1023424243201).

The spelling of 1012222021100 in words is "one trillion, twelve billion, two hundred twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 6917 13834 27611 27668 34585 55222 69170 110444 138055 138340 172925 276110 345850 366601 552220 690275 691700 733202 1380550 1463383 1466404 1833005 2761100 2926766 3666010 5853532 7316915 7332020 9165025 14633830 18330050 29267660 36584575 36660100 73169150 146338300 190985287 381970574 763941148 954926435 1909852870 3819705740 4774632175 9549264350 10122220211 19098528700 20244440422 40488880844 50611101055 101222202110 202444404220 253055505275 506111010550 1012222021100