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12220202110100 = 22521011209921001
BaseRepresentation
bin1011000111010011110011…
…0011100100110010010100
31121021020110220012022110212
42301310330303210302110
53100203433220010400
641553514445304552
72400611000036465
oct261647463446224
947236426168425
1012220202110100
113991616569366
121454434b65158
136a848b22c25a
14303664b56d6c
15162d1ec35335
hexb1d3cce4c94

12220202110100 has 36 divisors (see below), whose sum is σ = 26780391458268. Its totient is φ = 4839684000000.

The previous prime is 12220202110073. The next prime is 12220202110153. The reversal of 12220202110100 is 101120202221.

12220202110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 162001420036 + 12058200690064 = 402494^2 + 3472492^2 .

It is a super-2 number, since 2×122202021101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 604950401 + ... + 604970600.

Almost surely, 212220202110100 is an apocalyptic number.

12220202110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202110100 is an abundant number, since it is smaller than the sum of its proper divisors (14560189348168).

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

12220202110100 is a wasteful number, since it uses less digits than its factorization.

12220202110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209921116 (or 1209921109 counting only the distinct ones).

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

Adding to 12220202110100 its reverse (101120202221), we get a palindrome (12321322312321).

The spelling of 12220202110100 in words is "twelve trillion, two hundred twenty billion, two hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1209921001 2419842002 4839684004 6049605005 12099210010 24198420020 30248025025 60496050050 120992100100 122202021101 244404042202 488808084404 611010105505 1222020211010 2444040422020 3055050527525 6110101055050 12220202110100