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1021110222100 = 225266115447961
BaseRepresentation
bin11101101101111101110…
…10010111110100010100
310121121122221000211010211
432312332322113310110
5113212213204101400
62101031435455204
7133526030452033
oct16667672276424
93547587024124
101021110222100
11364061111241
12145a938b7504
13753a0992b17
14375c9d6c71a
151b864bd6dba
hexedbee97d14

1021110222100 has 36 divisors (see below), whose sum is σ = 2219161533148. Its totient is φ = 407826144000.

The previous prime is 1021110222091. The next prime is 1021110222133. The reversal of 1021110222100 is 12220111201.

It can be written as a sum of positive squares in 6 ways, for example, as 290975364 + 1020819246736 = 17058^2 + 1010356^2 .

It is a super-2 number, since 2×10211102221002 (a number of 25 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, 7657881 + ... + 7790080.

Almost surely, 21021110222100 is an apocalyptic number.

1021110222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021110222100 is an abundant number, since it is smaller than the sum of its proper divisors (1198051311048).

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

1021110222100 is a wasteful number, since it uses less digits than its factorization.

1021110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448636 (or 15448629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021110222100 its reverse (12220111201), we get a palindrome (1033330333301).

The spelling of 1021110222100 in words is "one trillion, twenty-one billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 661 1322 2644 3305 6610 13220 16525 33050 66100 15447961 30895922 61791844 77239805 154479610 308959220 386199025 772398050 1544796100 10211102221 20422204442 40844408884 51055511105 102111022210 204222044420 255277555525 510555111050 1021110222100