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1011222212121 = 34111279839091
BaseRepresentation
bin11101011011100011000…
…10100110111000011001
310120200010210222212110000
432231301202212320121
5113031440341241441
62052314333243213
7133026012660432
oct16556142467031
93520123885400
101011222212121
1135a947637a70
12143b94333509
1374486256744
1436d2ca3c489
151b486a9b2b6
hexeb718a6e19

1011222212121 has 80 divisors (see below), whose sum is σ = 1662765907968. Its totient is φ = 607350895200.

The previous prime is 1011222212041. The next prime is 1011222212131. The reversal of 1011222212121 is 1212122221101.

It is not a de Polignac number, because 1011222212121 - 29 = 1011222211609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011222212094 and 1011222212103.

It is not an unprimeable number, because it can be changed into a prime (1011222212131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111228786 + ... + 111237876.

Almost surely, 21011222212121 is an apocalyptic number.

1011222212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011222212121 is a deficient number, since it is larger than the sum of its proper divisors (651543695847).

1011222212121 is a wasteful number, since it uses less digits than its factorization.

1011222212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1011222212121 its reverse (1212122221101), we get a palindrome (2223344433222).

The spelling of 1011222212121 in words is "one trillion, eleven billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 127 297 381 891 983 1143 1397 2949 3429 4191 8847 9091 10287 10813 12573 26541 27273 32439 37719 79623 81819 97317 100001 113157 124841 245457 291951 300003 374523 736371 875853 900009 1123569 1154557 1373251 2700027 3370707 3463671 4119753 8100081 8936453 10112121 10391013 12359259 12700127 26809359 31173039 37077777 38100381 80428077 93519117 98300983 111233331 114301143 241284231 294902949 342903429 723852693 884708847 1028710287 1134929531 2654126541 3404788593 7962379623 10214365779 12484224841 30643097337 37452674523 91929292011 112358023569 337074070707 1011222212121