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1021020001100 = 2252111039893359
BaseRepresentation
bin11101101101110011000…
…10001101001101001100
310121121102122021010012022
432312321202031031030
5113212022110013400
62101014454025312
7133523553546041
oct16667142151514
93547378233168
101021020001100
11364015199930
12145a69648238
1375388094408
14375bbda51c8
151b85bd14b85
hexedb988d34c

1021020001100 has 72 divisors (see below), whose sum is σ = 2419361817600. Its totient is φ = 370922241600.

The previous prime is 1021020001049. The next prime is 1021020001129. The reversal of 1021020001100 is 11000201201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696221 + ... + 1589579.

Almost surely, 21021020001100 is an apocalyptic number.

1021020001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021020001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209680908800).

1021020001100 is an abundant number, since it is smaller than the sum of its proper divisors (1398341816500).

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

1021020001100 is a wasteful number, since it uses less digits than its factorization.

1021020001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894423 (or 894416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1021020001100 its reverse (11000201201), we get a palindrome (1032020202301).

The spelling of 1021020001100 in words is "one trillion, twenty-one billion, twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1039 1100 2078 4156 5195 10390 11429 20780 22858 25975 45716 51950 57145 103900 114290 228580 285725 571450 893359 1142900 1786718 3573436 4466795 8933590 9826949 17867180 19653898 22333975 39307796 44667950 49134745 89335900 98269490 196538980 245673725 491347450 928200001 982694900 1856400002 3712800004 4641000005 9282000010 10210200011 18564000020 20420400022 23205000025 40840800044 46410000050 51051000055 92820000100 102102000110 204204000220 255255000275 510510000550 1021020001100