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1022211022101 = 34753831648039
BaseRepresentation
bin11101110000000001000…
…01100101110100010101
310121201111122101020212020
432320000201211310111
5113221442010201401
62101333001443353
7133565225216343
oct16700041456425
93551448336766
101022211022101
11364576522605
121461404a0559
1375517a63979
1437692238993
151b8cb679d36
hexee00865d15

1022211022101 has 32 divisors (see below), whose sum is σ = 1435297812480. Its totient is φ = 646505530944.

The previous prime is 1022211022097. The next prime is 1022211022111. The reversal of 1022211022101 is 1012201122201.

It is not a de Polignac number, because 1022211022101 - 22 = 1022211022097 is a prime.

It is a super-2 number, since 2×10222110221012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203761 + ... + 1444278.

It is an arithmetic number, because the mean of its divisors is an integer number (44853056640).

Almost surely, 21022211022101 is an apocalyptic number.

It is an amenable number.

1022211022101 is a deficient number, since it is larger than the sum of its proper divisors (413086790379).

1022211022101 is a wasteful number, since it uses less digits than its factorization.

1022211022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648225.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022211022101 its reverse (1012201122201), we get a palindrome (2034412144302).

The spelling of 1022211022101 in words is "one trillion, twenty-two billion, two hundred eleven million, twenty-two thousand, one hundred one".

Divisors: 1 3 47 53 83 141 159 249 2491 3901 4399 7473 11703 13197 206753 620259 1648039 4944117 77457833 87346067 136787237 232373499 262038201 410361711 4105265149 6429000139 7249723561 12315795447 19287000417 21749170683 340737007367 1022211022101