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1100021202100 = 225297711259173
BaseRepresentation
bin10000000000011110010…
…111110111110010110100
310220011100100221221112201
4100000132113313302310
5121010320411431400
62201202011554244
7142321356641152
oct20003627676264
93804310857481
101100021202100
11394575322497
12159236a5b984
137c9682bc8b2
143b3542263d2
151d93278d06a
hex1001e5f7cb4

1100021202100 has 36 divisors (see below), whose sum is σ = 2389489461324. Its totient is φ = 439558074880.

The previous prime is 1100021202047. The next prime is 1100021202107. The reversal of 1100021202100 is 12021200011.

It can be written as a sum of positive squares in 6 ways, for example, as 34324231824 + 1065696970276 = 185268^2 + 1032326^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100021202107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5531887 + ... + 5727286.

It is an arithmetic number, because the mean of its divisors is an integer number (66374707259).

Almost surely, 21100021202100 is an apocalyptic number.

1100021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100021202100 is an abundant number, since it is smaller than the sum of its proper divisors (1289468259224).

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

1100021202100 is a wasteful number, since it uses less digits than its factorization.

1100021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260164 (or 11260157 counting only the distinct ones).

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

Adding to 1100021202100 its reverse (12021200011), we get a palindrome (1112042402111).

The spelling of 1100021202100 in words is "one trillion, one hundred billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 977 1954 3908 4885 9770 19540 24425 48850 97700 11259173 22518346 45036692 56295865 112591730 225183460 281479325 562958650 1125917300 11000212021 22000424042 44000848084 55001060105 110002120210 220004240420 275005300525 550010601050 1100021202100