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1021102201020 = 2235113115938389
BaseRepresentation
bin11101101101111100110…
…11110001100010111100
310121121122100221022021210
432312332123301202330
5113212204130413040
62101030551524420
7133525602333666
oct16667633614274
93547570838253
101021102201020
11364057632950
12145a91089710
137539c114c15
14375c8c81536
151b864150480
hexedbe6f18bc

1021102201020 has 192 divisors, whose sum is σ = 3134682270720. Its totient is φ = 246298521600.

The previous prime is 1021102201019. The next prime is 1021102201027. The reversal of 1021102201020 is 201022011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1021102200987 and 1021102201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021102201027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121714986 + ... + 121723374.

It is an arithmetic number, because the mean of its divisors is an integer number (16326470160).

Almost surely, 21021102201020 is an apocalyptic number.

1021102201020 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 1021102201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567341135360).

1021102201020 is an abundant number, since it is smaller than the sum of its proper divisors (2113580069700).

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

1021102201020 is a wasteful number, since it uses less digits than its factorization.

1021102201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021102201020 its reverse (201022011201), we get a palindrome (1222124212221).

The spelling of 1021102201020 in words is "one trillion, twenty-one billion, one hundred two million, two hundred one thousand, twenty".