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100212201012220 = 225111726794706153
BaseRepresentation
bin10110110010010001111000…
…101001001011101111111100
3111010211012012120221212001121
4112302101320221023233330
5101113334041424342340
6553044503302520324
730052043522034403
oct2662217051135774
9433735176855047
10100212201012220
1129a26834a43450
12b2a59674360a4
1343bbc7c14987b
141aa64214b863a
15b8bb38e6d94a
hex5b2478a4bbfc

100212201012220 has 48 divisors (see below), whose sum is σ = 243081574229088. Its totient is φ = 34297223874560.

The previous prime is 100212201012163. The next prime is 100212201012223. The reversal of 100212201012220 is 22210102212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100212201012194 and 100212201012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212201012223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13397349337 + ... + 13397356816.

It is an arithmetic number, because the mean of its divisors is an integer number (5064199463106).

Almost surely, 2100212201012220 is an apocalyptic number.

100212201012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212201012220 is an abundant number, since it is smaller than the sum of its proper divisors (142869373216868).

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

100212201012220 is a wasteful number, since it uses less digits than its factorization.

100212201012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26794706190 (or 26794706188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212201012220 its reverse (22210102212001), we get a palindrome (122422303224221).

The spelling of 100212201012220 in words is "one hundred trillion, two hundred twelve billion, two hundred one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 26794706153 53589412306 107178824612 133973530765 267947061530 294741767683 455510004601 535894123060 589483535366 911020009202 1178967070732 1473708838415 1822040018404 2277550023005 2947417676830 4555100046010 5010610050611 5894835353660 9110200092020 10021220101222 20042440202444 25053050253055 50106100506110 100212201012220