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1021102210011 = 3131773137153997
BaseRepresentation
bin11101101101111100110…
…11110011101111011011
310121121122100221202121210
432312332123303233123
5113212204131210021
62101030552034203
7133525602402132
oct16667633635733
93547570852553
101021102210011
11364057639684
12145a91092963
137539c119040
14375c8c84919
151b864152e76
hexedbe6f3bdb

1021102210011 has 64 divisors (see below), whose sum is σ = 1585208596608. Its totient is φ = 579044671488.

The previous prime is 1021102209983. The next prime is 1021102210013. The reversal of 1021102210011 is 1100122011201.

It is not a de Polignac number, because 1021102210011 - 223 = 1021093821403 is a prime.

It is a super-3 number, since 3×10211022100113 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021102210013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6553665 + ... + 6707661.

It is an arithmetic number, because the mean of its divisors is an integer number (24768884322).

Almost surely, 21021102210011 is an apocalyptic number.

1021102210011 is a deficient number, since it is larger than the sum of its proper divisors (564106386597).

1021102210011 is a wasteful number, since it uses less digits than its factorization.

1021102210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154240.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021102210011 its reverse (1100122011201), we get a palindrome (2121224221212).

The spelling of 1021102210011 in words is "one trillion, twenty-one billion, one hundred two million, two hundred ten thousand, eleven".

Divisors: 1 3 13 17 39 51 73 137 219 221 411 663 949 1241 1781 2329 2847 3723 5343 6987 10001 16133 30003 30277 48399 90831 130013 153997 170017 390039 461991 510051 2001961 2210221 2617949 6005883 6630663 7853847 11241781 21097589 33725343 34033337 63292767 102100011 146143153 191110277 274268657 358659013 438429459 573330831 822805971 1075977039 1540123997 2484433601 4620371991 4662567169 7453300803 13987701507 20021611961 26182107949 60064835883 78546323847 340367403337 1021102210011