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1100012210121 = 311237191428801
BaseRepresentation
bin10000000000011101110…
…101100100011111001001
310220011022202001002212110
4100000131311210133021
5121010311111210441
62201201051132533
7142321220340366
oct20003565443711
93804282032773
101100012210121
11394570240700
12159233a44149
137c966491ab6
143b352d6546d
151d931ab3b16
hex1001dd647c9

1100012210121 has 48 divisors (see below), whose sum is σ = 1664382956544. Its totient is φ = 645258240000.

The previous prime is 1100012210119. The next prime is 1100012210137. The reversal of 1100012210121 is 1210122100011.

It is not a de Polignac number, because 1100012210121 - 21 = 1100012210119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100012210097 and 1100012210106.

It is not an unprimeable number, because it can be changed into a prime (1100012210821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350921 + ... + 2779721.

It is an arithmetic number, because the mean of its divisors is an integer number (34674644928).

Almost surely, 21100012210121 is an apocalyptic number.

1100012210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100012210121 is a deficient number, since it is larger than the sum of its proper divisors (564370746423).

1100012210121 is a wasteful number, since it uses less digits than its factorization.

1100012210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429054 (or 429043 counting only the distinct ones).

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

Adding to 1100012210121 its reverse (1210122100011), we get a palindrome (2310134310132).

The spelling of 1100012210121 in words is "one trillion, one hundred billion, twelve million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 121 191 363 407 573 1221 2101 4477 6303 7067 13431 21201 23111 69333 77737 233211 428801 855107 1286403 2565321 4716811 14150433 15865637 47596911 51884921 81900991 155654763 174522007 245702973 523566021 900910901 1919742077 2702732703 3030336667 5759226231 9091010001 9910019911 29730059733 33333703337 100001110011 366670736707 1100012210121