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10110212211001 = 721712137109497
BaseRepresentation
bin1001001100011111011110…
…0110111000000100111001
31022210112020001221122222011
42103013313212320010321
52311121203311223001
633300322315125521
72062303324600600
oct223076746700471
938715201848864
1010110212211001
113248798247421
1211735157438a1
135845095c6766
1426d4a0592a37
15127eca9a7d51
hex931f79b8139

10110212211001 has 12 divisors (see below), whose sum is σ = 12452674344948. Its totient is φ = 8156137581312.

The previous prime is 10110212210999. The next prime is 10110212211017. The reversal of 10110212211001 is 10011221201101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7373424314025 + 2736787896976 = 2715405^2 + 1654324^2 .

It is not a de Polignac number, because 10110212211001 - 21 = 10110212210999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110212211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6068553916 + ... + 6068555581.

It is an arithmetic number, because the mean of its divisors is an integer number (1037722862079).

Almost surely, 210110212211001 is an apocalyptic number.

It is an amenable number.

10110212211001 is a deficient number, since it is larger than the sum of its proper divisors (2342462133947).

10110212211001 is a wasteful number, since it uses less digits than its factorization.

10110212211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137109528 (or 12137109521 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10110212211001 its reverse (10011221201101), we get a palindrome (20121433412102).

The spelling of 10110212211001 in words is "ten trillion, one hundred ten billion, two hundred twelve million, two hundred eleven thousand, one".

Divisors: 1 7 17 49 119 833 12137109497 84959766479 206330861449 594718365353 1444316030143 10110212211001