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102021101101220 = 2257343895138639
BaseRepresentation
bin10111001100100110100011…
…011111011010000010100100
3111101020010021221121101102012
4113030212203133122002210
5101333003203340214340
61000551502525333352
730326531664065000
oct2714464337320244
9441203257541365
10102021101101220
112a5639a6983694
12b538458407258
1344c071922cc12
141b29bc1cd1700
15bbdc0a01a565
hex5cc9a37da0a4

102021101101220 has 192 divisors, whose sum is σ = 255693182976000. Its totient is φ = 34160504918400.

The previous prime is 102021101101219. The next prime is 102021101101229. The reversal of 102021101101220 is 22101101120201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102021101101195 and 102021101101204.

It is not an unprimeable number, because it can be changed into a prime (102021101101229) 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 63 ways as a sum of consecutive naturals, for example, 2640346661 + ... + 2640385299.

It is an arithmetic number, because the mean of its divisors is an integer number (1331735328000).

Almost surely, 2102021101101220 is an apocalyptic number.

102021101101220 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 102021101101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127846591488000).

102021101101220 is an abundant number, since it is smaller than the sum of its proper divisors (153672081874780).

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

102021101101220 is a wasteful number, since it uses less digits than its factorization.

102021101101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47663 (or 47647 counting only the distinct ones).

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

Adding to 102021101101220 its reverse (22101101120201), we get a palindrome (124122202221421).

The spelling of 102021101101220 in words is "one hundred two trillion, twenty-one billion, one hundred one million, one hundred one thousand, two hundred twenty".