Search a number
-
+
101211210121120 = 2551117612909091
BaseRepresentation
bin10111000000110100010010…
…001110011111111110100000
3111021100200211020211210111021
4113000310102032133332200
5101231221024242333440
6555131442115055224
730214161065251201
oct2700642216377640
9437320736753437
10101211210121120
112a2814845a7180
12b4274b15a1514
13446223a0472c8
141adc9120a55a8
15ba7b0870284a
hex5c0d1239ffa0

101211210121120 has 288 divisors, whose sum is σ = 280795231499328. Its totient is φ = 34071238656000.

The previous prime is 101211210121079. The next prime is 101211210121129. The reversal of 101211210121120 is 21121012112101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101211210121094 and 101211210121103.

It is not an unprimeable number, because it can be changed into a prime (101211210121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110877775 + ... + 111786865.

It is an arithmetic number, because the mean of its divisors is an integer number (974983442706).

Almost surely, 2101211210121120 is an apocalyptic number.

101211210121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140397615749664).

101211210121120 is an abundant number, since it is smaller than the sum of its proper divisors (179584021378208).

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

101211210121120 is a wasteful number, since it uses less digits than its factorization.

101211210121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909256 (or 909187 counting only the distinct ones).

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

Adding to 101211210121120 its reverse (21121012112101), we get a palindrome (122332222233221).

The spelling of 101211210121120 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".