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2010012210100 = 225220100122101
BaseRepresentation
bin11101001111111110000…
…100000101001110110100
321010011012012120211012101
4131033332010011032310
5230413001111210400
64135215321231444
7265134655612666
oct35177604051664
97104165524171
102010012210100
11705494545494
12285679032584
1311770a93834b
146d3dc4b0536
1537441e9d56a
hex1d3fe1053b4

2010012210100 has 18 divisors (see below), whose sum is σ = 4361726496134. Its totient is φ = 804004884000.

The previous prime is 2010012210029. The next prime is 2010012210109. The reversal of 2010012210100 is 10122100102.

It can be written as a sum of positive squares in 3 ways, for example, as 716738332816 + 1293273877284 = 846604^2 + 1137222^2 .

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 (2010012210109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10050060951 + ... + 10050061150.

Almost surely, 22010012210100 is an apocalyptic number.

2010012210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010012210100 is an abundant number, since it is smaller than the sum of its proper divisors (2351714286034).

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

2010012210100 is a wasteful number, since it uses less digits than its factorization.

2010012210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20100122115 (or 20100122108 counting only the distinct ones).

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

Adding to 2010012210100 its reverse (10122100102), we get a palindrome (2020134310202).

The spelling of 2010012210100 in words is "two trillion, ten billion, twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20100122101 40200244202 80400488404 100500610505 201001221010 402002442020 502503052525 1005006105050 2010012210100