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201102121210000 = 245420110212121
BaseRepresentation
bin101101101110011010111100…
…011111111001000010010000
3222101001011201121010110101111
4231232122330133321002100
5202324324121012210000
61551413012235543104
760234102015115003
oct5556327437710220
9871034647113344
10201102121210000
1159093a2677985a
121a67ab315baa94
138829b056700aa
143793574ad953a
15183b1dad96cba
hexb6e6bc7f9090

201102121210000 has 50 divisors (see below), whose sum is σ = 486888345685742. Its totient is φ = 80440848480000.

The previous prime is 201102121209943. The next prime is 201102121210021. The reversal of 201102121210000 is 12121201102.

It can be written as a sum of positive squares in 5 ways, for example, as 46852875047056 + 154249246162944 = 6844916^2 + 12419712^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10055096061 + ... + 10055116060.

Almost surely, 2201102121210000 is an apocalyptic number.

201102121210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102121210000 is an abundant number, since it is smaller than the sum of its proper divisors (285786224475742).

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

201102121210000 is an equidigital number, since it uses as much as digits as its factorization.

201102121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20110212149 (or 20110212128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201102121210000 its reverse (12121201102), we get a palindrome (201114242411102).

The spelling of 201102121210000 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20110212121 40220424242 80440848484 100551060605 160881696968 201102121210 321763393936 402204242420 502755303025 804408484840 1005510606050 1608816969680 2011021212100 2513776515125 4022042424200 5027553030250 8044084848400 10055106060500 12568882575625 20110212121000 25137765151250 40220424242000 50275530302500 100551060605000 201102121210000