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201212010100 = 22526053332417
BaseRepresentation
bin1011101101100100101…
…0111001111001110100
3201020100210220011210101
42323121022321321310
511244040233310400
6232234023403444
720352135603103
oct2733112717164
9636323804711
10201212010100
1178373a30342
1232bb55b3584
1315c8845a10a
149a4b05a03a
155379a8356a
hex2ed92b9e74

201212010100 has 36 divisors (see below), whose sum is σ = 436703510124. Its totient is φ = 80471265280.

The previous prime is 201212010089. The next prime is 201212010101. The reversal of 201212010100 is 1010212102.

It can be written as a sum of positive squares in 6 ways, for example, as 22732799076 + 178479211024 = 150774^2 + 422468^2 .

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 (201212010101) 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, 439092 + ... + 771508.

It is an arithmetic number, because the mean of its divisors is an integer number (12130653059).

Almost surely, 2201212010100 is an apocalyptic number.

201212010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212010100 is an abundant number, since it is smaller than the sum of its proper divisors (235491500024).

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

201212010100 is a wasteful number, since it uses less digits than its factorization.

201212010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338484 (or 338477 counting only the distinct ones).

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

Adding to 201212010100 its reverse (1010212102), we get a palindrome (202222222202).

The spelling of 201212010100 in words is "two hundred one billion, two hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6053 12106 24212 30265 60530 121060 151325 302650 332417 605300 664834 1329668 1662085 3324170 6648340 8310425 16620850 33241700 2012120101 4024240202 8048480404 10060600505 20121201010 40242402020 50303002525 100606005050 201212010100