Search a number
-
+
100212101201201 = 112472675595827
BaseRepresentation
bin10110110010010001110010…
…101100011011110100110001
3111010211011221122010221002012
4112302101302230123310301
5101113333340401414301
6553044445335332305
730052041200460233
oct2662216254336461
9433734848127065
10100212101201201
1129a26793670a00
12b2a5939b21095
1343bbc645710b2
141aa6412136253
15b8bb30304ebb
hex5b2472b1bd31

100212101201201 has 36 divisors (see below), whose sum is σ = 114223764651024. Its totient is φ = 87832756395120.

The previous prime is 100212101201137. The next prime is 100212101201203. The reversal of 100212101201201 is 102102101212001.

It is not a de Polignac number, because 100212101201201 - 26 = 100212101201137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212101201203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15110450 + ... + 20706276.

Almost surely, 2100212101201201 is an apocalyptic number.

100212101201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212101201201 is a deficient number, since it is larger than the sum of its proper divisors (14011663449823).

100212101201201 is an equidigital number, since it uses as much as digits as its factorization.

100212101201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596010 (or 5595952 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212101201201 its reverse (102102101212001), we get a palindrome (202314202413202).

The spelling of 100212101201201 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, two hundred one thousand, two hundred one".

Divisors: 1 11 47 67 121 517 737 2209 3149 5687 8107 24299 34639 148003 267289 381029 1628033 5595827 17908363 61554097 263003869 374920409 677095067 2893042559 4124124499 12361181843 17621259223 31823468149 45365369489 135973000273 193833851453 828199183481 1495703003003 2132172365983 9110191018291 100212101201201