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1022102100221 = 31179339154319
BaseRepresentation
bin11101101111110100000…
…10000101100011111101
310121201020001102110010112
432313322002011203331
5113221231114201341
62101314111115405
7133562433335006
oct16677202054375
93551201373115
101022102100221
1136451aa97a24
1214610bb12b65
13754cb318257
14376819a41ad
151b8c1d11aeb
hexedfa0858fd

1022102100221 has 16 divisors (see below), whose sum is σ = 1061299814400. Its totient is φ = 983297026800.

The previous prime is 1022102100161. The next prime is 1022102100233. The reversal of 1022102100221 is 1220012012201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022102100221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022102100196 and 1022102100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022102100241) 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 15 ways as a sum of consecutive naturals, for example, 18789500 + ... + 18843818.

It is an arithmetic number, because the mean of its divisors is an integer number (66331238400).

Almost surely, 21022102100221 is an apocalyptic number.

It is an amenable number.

1022102100221 is a deficient number, since it is larger than the sum of its proper divisors (39197714179).

1022102100221 is a wasteful number, since it uses less digits than its factorization.

1022102100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57920.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022102100221 its reverse (1220012012201), we get a palindrome (2242114112422).

The spelling of 1022102100221 in words is "one trillion, twenty-two billion, one hundred two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 31 179 3391 5549 54319 105121 606989 1683889 9723101 18816659 184195729 301416131 5710067599 32971035491 1022102100221