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12100102201121 = 1117408791582877
BaseRepresentation
bin1011000000010100011001…
…0010110001111100100001
31120211202110221000210121212
42300011012102301330201
53041222002130413441
641422413223355505
72356126545461324
oct260050622617441
946752427023555
1012100102201121
113945696275140
1214350b78b2b95
1369a05b43395c
142db9104447bb
1515eb410e6eeb
hexb01464b1f21

12100102201121 has 16 divisors (see below), whose sum is σ = 13976939370240. Its totient is φ = 10352768820480.

The previous prime is 12100102201067. The next prime is 12100102201147. The reversal of 12100102201121 is 12110220100121.

It is a cyclic number.

It is not a de Polignac number, because 12100102201121 - 210 = 12100102200097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100102201096 and 12100102201105.

It is not an unprimeable number, because it can be changed into a prime (12100102201151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6852935 + ... + 8435811.

It is an arithmetic number, because the mean of its divisors is an integer number (873558710640).

Almost surely, 212100102201121 is an apocalyptic number.

12100102201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100102201121 is a deficient number, since it is larger than the sum of its proper divisors (1876837169119).

12100102201121 is a wasteful number, since it uses less digits than its factorization.

12100102201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623784.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12100102201121 its reverse (12110220100121), we get a palindrome (24210322301242).

The spelling of 12100102201121 in words is "twelve trillion, one hundred billion, one hundred two million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 11 17 187 40879 449669 694943 1582877 7644373 17411647 26908909 295997999 64706428883 711770717713 1100009291011 12100102201121