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1021221002100 = 2235213261851539
BaseRepresentation
bin11101101110001011000…
…00111101101101110100
310121121221122111000201210
432313011200331231310
5113212430034031400
62101050434121420
7133531544202555
oct16670540755564
93547848430653
101021221002100
113641086a5962
12145b04a20270
13753ba90c210
14375da96832c
151b86e7ba950
hexedc583db74

1021221002100 has 72 divisors (see below), whose sum is σ = 3182019914080. Its totient is φ = 251377476480.

The previous prime is 1021221002089. The next prime is 1021221002119. The reversal of 1021221002100 is 12001221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130921870 + ... + 130929669.

Almost surely, 21021221002100 is an apocalyptic number.

1021221002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021221002100 is an abundant number, since it is smaller than the sum of its proper divisors (2160798911980).

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

1021221002100 is a wasteful number, since it uses less digits than its factorization.

1021221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261851569 (or 261851562 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021221002100 its reverse (12001221201), we get a palindrome (1033222223301).

The spelling of 1021221002100 in words is "one trillion, twenty-one billion, two hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 261851539 523703078 785554617 1047406156 1309257695 1571109234 2618515390 3142218468 3404070007 3927773085 5237030780 6546288475 6808140014 7855546170 10212210021 13092576950 13616280028 15711092340 17020350035 19638865425 20424420042 26185153900 34040700070 39277730850 40848840084 51061050105 68081400140 78555461700 85101750175 102122100210 170203500350 204244200420 255305250525 340407000700 510610501050 1021221002100