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1021112210401 is a prime number
BaseRepresentation
bin11101101101111110000…
…01111101001111100001
310121121200001202211120121
432312333001331033201
5113212214211213101
62101031550240241
7133526053402603
oct16667701751741
93547601684517
101021112210401
1136406224a068
12145a944b6081
13753a120ab2a
14375ca329173
151b864e7b0a1
hexedbf07d3e1

1021112210401 has 2 divisors, whose sum is σ = 1021112210402. Its totient is φ = 1021112210400.

The previous prime is 1021112210381. The next prime is 1021112210477. The reversal of 1021112210401 is 1040122111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 684340908001 + 336771302400 = 827249^2 + 580320^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021112210401 - 27 = 1021112210273 is a prime.

It is a super-3 number, since 3×10211122104013 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1021112210101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510556105200 + 510556105201.

It is an arithmetic number, because the mean of its divisors is an integer number (510556105201).

Almost surely, 21021112210401 is an apocalyptic number.

It is an amenable number.

1021112210401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021112210401 is an equidigital number, since it uses as much as digits as its factorization.

1021112210401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1021112210401 its reverse (1040122111201), we get a palindrome (2061234321602).

The spelling of 1021112210401 in words is "one trillion, twenty-one billion, one hundred twelve million, two hundred ten thousand, four hundred one".