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2212111100021 is a prime number
BaseRepresentation
bin100000001100001100000…
…110001010100001110101
321211110211211022011101112
4200030030012022201311
5242220400420200041
64412121350004405
7315551114051414
oct40141406124165
97743754264345
102212111100021
11783173056759
122b887b646705
131307a7a47004
14790d122d47b
153c81e81adeb
hex2030c18a875

2212111100021 has 2 divisors, whose sum is σ = 2212111100022. Its totient is φ = 2212111100020.

The previous prime is 2212111100009. The next prime is 2212111100047. The reversal of 2212111100021 is 1200011112122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2185625164996 + 26485935025 = 1478386^2 + 162745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2212111100021 is a prime.

It is a super-2 number, since 2×22121111000212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212111099969 and 2212111100005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212111100921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106055550010 + 1106055550011.

It is an arithmetic number, because the mean of its divisors is an integer number (1106055550011).

Almost surely, 22212111100021 is an apocalyptic number.

It is an amenable number.

2212111100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212111100021 is an equidigital number, since it uses as much as digits as its factorization.

2212111100021 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2212111100021 its reverse (1200011112122), we get a palindrome (3412122212143).

It can be divided in two parts, 2212111 and 100021, that added together give a palindrome (2312132).

The spelling of 2212111100021 in words is "two trillion, two hundred twelve billion, one hundred eleven million, one hundred thousand, twenty-one".