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22101120100 = 2252221011201
BaseRepresentation
bin10100100101010101…
…000101010001100100
32010001021011020011201
4110211111011101210
5330230341320400
614053023412244
71411454264323
oct244525052144
963037136151
1022101120100
119411562714
124349754084
132112a98577
1410d93840ba
1589545506a
hex525545464

22101120100 has 18 divisors (see below), whose sum is σ = 47959430834. Its totient is φ = 8840448000.

The previous prime is 22101120073. The next prime is 22101120101. The reversal of 22101120100 is 102110122.

It can be written as a sum of positive squares in 3 ways, for example, as 6944555556 + 15156564544 = 83334^2 + 123112^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22101120101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110505501 + ... + 110505700.

Almost surely, 222101120100 is an apocalyptic number.

22101120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101120100 is an abundant number, since it is smaller than the sum of its proper divisors (25858310734).

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

22101120100 is a wasteful number, since it uses less digits than its factorization.

22101120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221011215 (or 221011208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22101120100 its reverse (102110122), we get a palindrome (22203230222).

The spelling of 22101120100 in words is "twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221011201 442022402 884044804 1105056005 2210112010 4420224020 5525280025 11050560050 22101120100