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10201222102100 = 2252673709410507
BaseRepresentation
bin1001010001110010100000…
…1110000011110001010100
31100010020010201010011020112
42110130220032003301110
52314114100324231400
633410213213022152
72102004536112221
oct224345016036124
940106121104215
1010201222102100
11328334aa27657
121189094784958
1358cc8170a023
14273a55654948
1512a55581b835
hex94728383c54

10201222102100 has 72 divisors (see below), whose sum is σ = 22473161938080. Its totient is φ = 4018492494720.

The previous prime is 10201222102031. The next prime is 10201222102117. The reversal of 10201222102100 is 120122210201.

It is a congruent number.

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, 24645047 + ... + 25055553.

It is an arithmetic number, because the mean of its divisors is an integer number (312127249140).

Almost surely, 210201222102100 is an apocalyptic number.

10201222102100 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 10201222102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236580969040).

10201222102100 is an abundant number, since it is smaller than the sum of its proper divisors (12271939835980).

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

10201222102100 is a wasteful number, since it uses less digits than its factorization.

10201222102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414297 (or 414290 counting only the distinct ones).

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

Adding to 10201222102100 its reverse (120122210201), we get a palindrome (10321344312301).

The spelling of 10201222102100 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 3709 6700 7418 14836 18545 37090 74180 92725 185450 248503 370900 410507 497006 821014 994012 1242515 1642028 2052535 2485030 4105070 4970060 6212575 8210140 10262675 12425150 20525350 24850300 27503969 41050700 55007938 110015876 137519845 275039690 550079380 687599225 1375198450 1522570463 2750396900 3045140926 6090281852 7612852315 15225704630 30451409260 38064261575 76128523150 102012221021 152257046300 204024442042 408048884084 510061105105 1020122210210 2040244420420 2550305525525 5100611051050 10201222102100